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Finding the Fourth Proportional to 71,783.68, 107,557.02 and 41,713.50

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Solution

The fourth proportional to 71,783.68, 107,557.02 and 41,713.50 is: 62,501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,783.68 : 107,557.02 = 41,713.50 : x
  2. Step 2: Convert to fraction form
    71,783.68/107,557.02 = 41,713.50/x
  3. Step 3: Cross multiply
    71,783.68x = 107,557.02 × 41,713.50
  4. Step 4: Simplify right side
    71,783.68x = 4,486,579,753.77
  5. Step 5: Solve for x
    x = 4,486,579,753.77/71,783.68
  6. Step 6: Final answer
    x = 62,501.39

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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.