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Finding the Fourth Proportional to 101,592.63, 152,403.23 and 42,414.84

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Solution

The fourth proportional to 101,592.63, 152,403.23 and 42,414.84 is: 63,628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,592.63 : 152,403.23 = 42,414.84 : x
  2. Step 2: Convert to fraction form
    101,592.63/152,403.23 = 42,414.84/x
  3. Step 3: Cross multiply
    101,592.63x = 152,403.23 × 42,414.84
  4. Step 4: Simplify right side
    101,592.63x = 6,464,158,721.97
  5. Step 5: Solve for x
    x = 6,464,158,721.97/101,592.63
  6. Step 6: Final answer
    x = 63,628.23

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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.