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Finding the Fourth Proportional to 101,678.25, 152,539.71 and 41,707.08

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Solution

The fourth proportional to 101,678.25, 152,539.71 and 41,707.08 is: 62,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,678.25 : 152,539.71 = 41,707.08 : x
  2. Step 2: Convert to fraction form
    101,678.25/152,539.71 = 41,707.08/x
  3. Step 3: Cross multiply
    101,678.25x = 152,539.71 × 41,707.08
  4. Step 4: Simplify right side
    101,678.25x = 6,361,985,888.15
  5. Step 5: Solve for x
    x = 6,361,985,888.15/101,678.25
  6. Step 6: Final answer
    x = 62,569.78

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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.