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Finding the Fourth Proportional to 35,760.52, 53,641.80 and 17,042.50

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Solution

The fourth proportional to 35,760.52, 53,641.80 and 17,042.50 is: 25,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,760.52 : 53,641.80 = 17,042.50 : x
  2. Step 2: Convert to fraction form
    35,760.52/53,641.80 = 17,042.50/x
  3. Step 3: Cross multiply
    35,760.52x = 53,641.80 × 17,042.50
  4. Step 4: Simplify right side
    35,760.52x = 914,190,376.50
  5. Step 5: Solve for x
    x = 914,190,376.50/35,760.52
  6. Step 6: Final answer
    x = 25,564.24

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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.