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Finding the Fourth Proportional to 34,105.60, 51,165.60 and 10,411.20

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Solution

The fourth proportional to 34,105.60, 51,165.60 and 10,411.20 is: 15,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,105.60 : 51,165.60 = 10,411.20 : x
  2. Step 2: Convert to fraction form
    34,105.60/51,165.60 = 10,411.20/x
  3. Step 3: Cross multiply
    34,105.60x = 51,165.60 × 10,411.20
  4. Step 4: Simplify right side
    34,105.60x = 532,695,294.72
  5. Step 5: Solve for x
    x = 532,695,294.72/34,105.60
  6. Step 6: Final answer
    x = 15,619.00

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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.