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Finding the Fourth Proportional to 31,758.08, 47,641.98 and 8,386.34

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Solution

The fourth proportional to 31,758.08, 47,641.98 and 8,386.34 is: 12,580.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,758.08 : 47,641.98 = 8,386.34 : x
  2. Step 2: Convert to fraction form
    31,758.08/47,641.98 = 8,386.34/x
  3. Step 3: Cross multiply
    31,758.08x = 47,641.98 × 8,386.34
  4. Step 4: Simplify right side
    31,758.08x = 399,541,842.55
  5. Step 5: Solve for x
    x = 399,541,842.55/31,758.08
  6. Step 6: Final answer
    x = 12,580.79

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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.