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Finding the Fourth Proportional to 57,088.62, 78,782.22 and 31,938.12

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Solution

The fourth proportional to 57,088.62, 78,782.22 and 31,938.12 is: 44,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,088.62 : 78,782.22 = 31,938.12 : x
  2. Step 2: Convert to fraction form
    57,088.62/78,782.22 = 31,938.12/x
  3. Step 3: Cross multiply
    57,088.62x = 78,782.22 × 31,938.12
  4. Step 4: Simplify right side
    57,088.62x = 2,516,155,996.23
  5. Step 5: Solve for x
    x = 2,516,155,996.23/57,088.62
  6. Step 6: Final answer
    x = 44,074.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.