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Finding the Fourth Proportional to 52,803.86, 72,869.31 and 31,588.11

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Solution

The fourth proportional to 52,803.86, 72,869.31 and 31,588.11 is: 43,591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,803.86 : 72,869.31 = 31,588.11 : x
  2. Step 2: Convert to fraction form
    52,803.86/72,869.31 = 31,588.11/x
  3. Step 3: Cross multiply
    52,803.86x = 72,869.31 × 31,588.11
  4. Step 4: Simplify right side
    52,803.86x = 2,301,803,779.90
  5. Step 5: Solve for x
    x = 2,301,803,779.90/52,803.86
  6. Step 6: Final answer
    x = 43,591.59

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