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Finding the Fourth Proportional to 65,221.40, 97,832.10 and 54,853.40

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Solution

The fourth proportional to 65,221.40, 97,832.10 and 54,853.40 is: 82,280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,221.40 : 97,832.10 = 54,853.40 : x
  2. Step 2: Convert to fraction form
    65,221.40/97,832.10 = 54,853.40/x
  3. Step 3: Cross multiply
    65,221.40x = 97,832.10 × 54,853.40
  4. Step 4: Simplify right side
    65,221.40x = 5,366,423,314.14
  5. Step 5: Solve for x
    x = 5,366,423,314.14/65,221.40
  6. Step 6: Final answer
    x = 82,280.10

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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.