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Finding the Fourth Proportional to 31,740.32, 47,606.64 and 8,368.52

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Solution

The fourth proportional to 31,740.32, 47,606.64 and 8,368.52 is: 12,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,740.32 : 47,606.64 = 8,368.52 : x
  2. Step 2: Convert to fraction form
    31,740.32/47,606.64 = 8,368.52/x
  3. Step 3: Cross multiply
    31,740.32x = 47,606.64 × 8,368.52
  4. Step 4: Simplify right side
    31,740.32x = 398,397,118.97
  5. Step 5: Solve for x
    x = 398,397,118.97/31,740.32
  6. Step 6: Final answer
    x = 12,551.77

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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.