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Finding the Fourth Proportional to 31,737.30, 47,602.34 and 8,365.56

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Solution

The fourth proportional to 31,737.30, 47,602.34 and 8,365.56 is: 12,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,737.30 : 47,602.34 = 8,365.56 : x
  2. Step 2: Convert to fraction form
    31,737.30/47,602.34 = 8,365.56/x
  3. Step 3: Cross multiply
    31,737.30x = 47,602.34 × 8,365.56
  4. Step 4: Simplify right side
    31,737.30x = 398,220,189.58
  5. Step 5: Solve for x
    x = 398,220,189.58/31,737.30
  6. Step 6: Final answer
    x = 12,547.39

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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.