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Finding the Fourth Proportional to 51,403.80, 70,937.10 and 29,047.80

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Solution

The fourth proportional to 51,403.80, 70,937.10 and 29,047.80 is: 40,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,403.80 : 70,937.10 = 29,047.80 : x
  2. Step 2: Convert to fraction form
    51,403.80/70,937.10 = 29,047.80/x
  3. Step 3: Cross multiply
    51,403.80x = 70,937.10 × 29,047.80
  4. Step 4: Simplify right side
    51,403.80x = 2,060,566,693.38
  5. Step 5: Solve for x
    x = 2,060,566,693.38/51,403.80
  6. Step 6: Final answer
    x = 40,085.88

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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.