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Finding the Fourth Proportional to 32,117.31, 48,158.28 and 9,924.57

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Solution

The fourth proportional to 32,117.31, 48,158.28 and 9,924.57 is: 14,881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117.31 : 48,158.28 = 9,924.57 : x
  2. Step 2: Convert to fraction form
    32,117.31/48,158.28 = 9,924.57/x
  3. Step 3: Cross multiply
    32,117.31x = 48,158.28 × 9,924.57
  4. Step 4: Simplify right side
    32,117.31x = 477,950,220.94
  5. Step 5: Solve for x
    x = 477,950,220.94/32,117.31
  6. Step 6: Final answer
    x = 14,881.39

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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.