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Finding the Fourth Proportional to 48,978.95, 73,468.11 and 23,648.90

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Solution

The fourth proportional to 48,978.95, 73,468.11 and 23,648.90 is: 35,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,978.95 : 73,468.11 = 23,648.90 : x
  2. Step 2: Convert to fraction form
    48,978.95/73,468.11 = 23,648.90/x
  3. Step 3: Cross multiply
    48,978.95x = 73,468.11 × 23,648.90
  4. Step 4: Simplify right side
    48,978.95x = 1,737,439,986.58
  5. Step 5: Solve for x
    x = 1,737,439,986.58/48,978.95
  6. Step 6: Final answer
    x = 35,473.20

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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.