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Finding the Fourth Proportional to 101,712.62, 152,570.39 and 31,587.50

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Solution

The fourth proportional to 101,712.62, 152,570.39 and 31,587.50 is: 47,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,712.62 : 152,570.39 = 31,587.50 : x
  2. Step 2: Convert to fraction form
    101,712.62/152,570.39 = 31,587.50/x
  3. Step 3: Cross multiply
    101,712.62x = 152,570.39 × 31,587.50
  4. Step 4: Simplify right side
    101,712.62x = 4,819,317,194.13
  5. Step 5: Solve for x
    x = 4,819,317,194.13/101,712.62
  6. Step 6: Final answer
    x = 47,381.70

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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.