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Finding the Fourth Proportional to 35,662, 53,493.12 and 10,702.48

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Solution

The fourth proportional to 35,662, 53,493.12 and 10,702.48 is: 16,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,662 : 53,493.12 = 10,702.48 : x
  2. Step 2: Convert to fraction form
    35,662/53,493.12 = 10,702.48/x
  3. Step 3: Cross multiply
    35,662x = 53,493.12 × 10,702.48
  4. Step 4: Simplify right side
    35,662x = 572,509,046.94
  5. Step 5: Solve for x
    x = 572,509,046.94/35,662
  6. Step 6: Final answer
    x = 16,053.76

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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.