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Finding the Fourth Proportional to 32,107.05, 48,143.07 and 9,916.29

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Solution

The fourth proportional to 32,107.05, 48,143.07 and 9,916.29 is: 14,869.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,107.05 : 48,143.07 = 9,916.29 : x
  2. Step 2: Convert to fraction form
    32,107.05/48,143.07 = 9,916.29/x
  3. Step 3: Cross multiply
    32,107.05x = 48,143.07 × 9,916.29
  4. Step 4: Simplify right side
    32,107.05x = 477,400,643.61
  5. Step 5: Solve for x
    x = 477,400,643.61/32,107.05
  6. Step 6: Final answer
    x = 14,869.03

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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.