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Finding the Fourth Proportional to 145,854.47, 218,781.72 and 35,046.47

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Solution

The fourth proportional to 145,854.47, 218,781.72 and 35,046.47 is: 52,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,854.47 : 218,781.72 = 35,046.47 : x
  2. Step 2: Convert to fraction form
    145,854.47/218,781.72 = 35,046.47/x
  3. Step 3: Cross multiply
    145,854.47x = 218,781.72 × 35,046.47
  4. Step 4: Simplify right side
    145,854.47x = 7,667,526,986.53
  5. Step 5: Solve for x
    x = 7,667,526,986.53/145,854.47
  6. Step 6: Final answer
    x = 52,569.71

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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.