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Finding the Fourth Proportional to 48,432.93, 72,578.31 and 34,419.93

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Solution

The fourth proportional to 48,432.93, 72,578.31 and 34,419.93 is: 51,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,432.93 : 72,578.31 = 34,419.93 : x
  2. Step 2: Convert to fraction form
    48,432.93/72,578.31 = 34,419.93/x
  3. Step 3: Cross multiply
    48,432.93x = 72,578.31 × 34,419.93
  4. Step 4: Simplify right side
    48,432.93x = 2,498,140,349.72
  5. Step 5: Solve for x
    x = 2,498,140,349.72/48,432.93
  6. Step 6: Final answer
    x = 51,579.38

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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.