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Finding the Fourth Proportional to 35,605.92, 53,411.92 and 9,310.64

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Solution

The fourth proportional to 35,605.92, 53,411.92 and 9,310.64 is: 13,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,605.92 : 53,411.92 = 9,310.64 : x
  2. Step 2: Convert to fraction form
    35,605.92/53,411.92 = 9,310.64/x
  3. Step 3: Cross multiply
    35,605.92x = 53,411.92 × 9,310.64
  4. Step 4: Simplify right side
    35,605.92x = 497,299,158.83
  5. Step 5: Solve for x
    x = 497,299,158.83/35,605.92
  6. Step 6: Final answer
    x = 13,966.75

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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.