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Finding the Fourth Proportional to 32,047.70, 48,073.26 and 9,876.30

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Solution

The fourth proportional to 32,047.70, 48,073.26 and 9,876.30 is: 14,814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,047.70 : 48,073.26 = 9,876.30 : x
  2. Step 2: Convert to fraction form
    32,047.70/48,073.26 = 9,876.30/x
  3. Step 3: Cross multiply
    32,047.70x = 48,073.26 × 9,876.30
  4. Step 4: Simplify right side
    32,047.70x = 474,785,937.74
  5. Step 5: Solve for x
    x = 474,785,937.74/32,047.70
  6. Step 6: Final answer
    x = 14,814.98

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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.