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Finding the Fourth Proportional to 102,070.73, 152,884.50 and 49,369.70

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Solution

The fourth proportional to 102,070.73, 152,884.50 and 49,369.70 is: 73,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,070.73 : 152,884.50 = 49,369.70 : x
  2. Step 2: Convert to fraction form
    102,070.73/152,884.50 = 49,369.70/x
  3. Step 3: Cross multiply
    102,070.73x = 152,884.50 × 49,369.70
  4. Step 4: Simplify right side
    102,070.73x = 7,547,861,135.23
  5. Step 5: Solve for x
    x = 7,547,861,135.23/102,070.73
  6. Step 6: Final answer
    x = 73,947.36

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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.