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Finding the Fourth Proportional to 47,749.60, 71,700.90 and 37,970.20

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Solution

The fourth proportional to 47,749.60, 71,700.90 and 37,970.20 is: 57,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,749.60 : 71,700.90 = 37,970.20 : x
  2. Step 2: Convert to fraction form
    47,749.60/71,700.90 = 37,970.20/x
  3. Step 3: Cross multiply
    47,749.60x = 71,700.90 × 37,970.20
  4. Step 4: Simplify right side
    47,749.60x = 2,722,497,513.18
  5. Step 5: Solve for x
    x = 2,722,497,513.18/47,749.60
  6. Step 6: Final answer
    x = 57,016.13

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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.