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Finding the Fourth Proportional to 101,695.49, 152,565.24 and 41,724.09

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Solution

The fourth proportional to 101,695.49, 152,565.24 and 41,724.09 is: 62,595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,695.49 : 152,565.24 = 41,724.09 : x
  2. Step 2: Convert to fraction form
    101,695.49/152,565.24 = 41,724.09/x
  3. Step 3: Cross multiply
    101,695.49x = 152,565.24 × 41,724.09
  4. Step 4: Simplify right side
    101,695.49x = 6,365,645,804.63
  5. Step 5: Solve for x
    x = 6,365,645,804.63/101,695.49
  6. Step 6: Final answer
    x = 62,595.17

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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.