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Finding the Fourth Proportional to 65,216.10, 97,824.15 and 43,328.10

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Solution

The fourth proportional to 65,216.10, 97,824.15 and 43,328.10 is: 64,992.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,216.10 : 97,824.15 = 43,328.10 : x
  2. Step 2: Convert to fraction form
    65,216.10/97,824.15 = 43,328.10/x
  3. Step 3: Cross multiply
    65,216.10x = 97,824.15 × 43,328.10
  4. Step 4: Simplify right side
    65,216.10x = 4,238,534,553.62
  5. Step 5: Solve for x
    x = 4,238,534,553.62/65,216.10
  6. Step 6: Final answer
    x = 64,992.15

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.