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Finding the Fourth Proportional to 102,733.68, 154,098.86 and 39,567.66

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Solution

The fourth proportional to 102,733.68, 154,098.86 and 39,567.66 is: 59,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,733.68 : 154,098.86 = 39,567.66 : x
  2. Step 2: Convert to fraction form
    102,733.68/154,098.86 = 39,567.66/x
  3. Step 3: Cross multiply
    102,733.68x = 154,098.86 × 39,567.66
  4. Step 4: Simplify right side
    102,733.68x = 6,097,331,101.03
  5. Step 5: Solve for x
    x = 6,097,331,101.03/102,733.68
  6. Step 6: Final answer
    x = 59,350.85

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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.