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Finding the Fourth Proportional to 32,401.79, 48,605.31 and 9,917.40

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Solution

The fourth proportional to 32,401.79, 48,605.31 and 9,917.40 is: 14,876.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,401.79 : 48,605.31 = 9,917.40 : x
  2. Step 2: Convert to fraction form
    32,401.79/48,605.31 = 9,917.40/x
  3. Step 3: Cross multiply
    32,401.79x = 48,605.31 × 9,917.40
  4. Step 4: Simplify right side
    32,401.79x = 482,038,301.39
  5. Step 5: Solve for x
    x = 482,038,301.39/32,401.79
  6. Step 6: Final answer
    x = 14,876.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.