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Finding the Fourth Proportional to 137,752.91, 206,602.50 and 37,887.47

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Solution

The fourth proportional to 137,752.91, 206,602.50 and 37,887.47 is: 56,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,752.91 : 206,602.50 = 37,887.47 : x
  2. Step 2: Convert to fraction form
    137,752.91/206,602.50 = 37,887.47/x
  3. Step 3: Cross multiply
    137,752.91x = 206,602.50 × 37,887.47
  4. Step 4: Simplify right side
    137,752.91x = 7,827,646,020.68
  5. Step 5: Solve for x
    x = 7,827,646,020.68/137,752.91
  6. Step 6: Final answer
    x = 56,823.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.