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Finding the Fourth Proportional to 56,842.97, 85,155.30 and 31,807.15

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Solution

The fourth proportional to 56,842.97, 85,155.30 and 31,807.15 is: 47,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,842.97 : 85,155.30 = 31,807.15 : x
  2. Step 2: Convert to fraction form
    56,842.97/85,155.30 = 31,807.15/x
  3. Step 3: Cross multiply
    56,842.97x = 85,155.30 × 31,807.15
  4. Step 4: Simplify right side
    56,842.97x = 2,708,547,187.51
  5. Step 5: Solve for x
    x = 2,708,547,187.51/56,842.97
  6. Step 6: Final answer
    x = 47,649.65

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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.