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Finding the Fourth Proportional to 101,511.50, 152,269.34 and 31,390.79

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Solution

The fourth proportional to 101,511.50, 152,269.34 and 31,390.79 is: 47,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,511.50 : 152,269.34 = 31,390.79 : x
  2. Step 2: Convert to fraction form
    101,511.50/152,269.34 = 31,390.79/x
  3. Step 3: Cross multiply
    101,511.50x = 152,269.34 × 31,390.79
  4. Step 4: Simplify right side
    101,511.50x = 4,779,853,957.08
  5. Step 5: Solve for x
    x = 4,779,853,957.08/101,511.50
  6. Step 6: Final answer
    x = 47,086.82

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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.