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Finding the Fourth Proportional to 31,878.08, 47,817.12 and 8,503.28

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Solution

The fourth proportional to 31,878.08, 47,817.12 and 8,503.28 is: 12,754.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,878.08 : 47,817.12 = 8,503.28 : x
  2. Step 2: Convert to fraction form
    31,878.08/47,817.12 = 8,503.28/x
  3. Step 3: Cross multiply
    31,878.08x = 47,817.12 × 8,503.28
  4. Step 4: Simplify right side
    31,878.08x = 406,602,360.15
  5. Step 5: Solve for x
    x = 406,602,360.15/31,878.08
  6. Step 6: Final answer
    x = 12,754.92

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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.