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Finding the Fourth Proportional to 64,823.40, 97,235.10 and 18,076.20

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Solution

The fourth proportional to 64,823.40, 97,235.10 and 18,076.20 is: 27,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,823.40 : 97,235.10 = 18,076.20 : x
  2. Step 2: Convert to fraction form
    64,823.40/97,235.10 = 18,076.20/x
  3. Step 3: Cross multiply
    64,823.40x = 97,235.10 × 18,076.20
  4. Step 4: Simplify right side
    64,823.40x = 1,757,641,114.62
  5. Step 5: Solve for x
    x = 1,757,641,114.62/64,823.40
  6. Step 6: Final answer
    x = 27,114.30

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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.