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Finding the Fourth Proportional to 106,597.52, 159,825.20 and 42,513.02

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Solution

The fourth proportional to 106,597.52, 159,825.20 and 42,513.02 is: 63,741.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,597.52 : 159,825.20 = 42,513.02 : x
  2. Step 2: Convert to fraction form
    106,597.52/159,825.20 = 42,513.02/x
  3. Step 3: Cross multiply
    106,597.52x = 159,825.20 × 42,513.02
  4. Step 4: Simplify right side
    106,597.52x = 6,794,650,912.41
  5. Step 5: Solve for x
    x = 6,794,650,912.41/106,597.52
  6. Step 6: Final answer
    x = 63,741.18

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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.