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Finding the Fourth Proportional to 48,079.50, 66,357 and 29,212.98

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Solution

The fourth proportional to 48,079.50, 66,357 and 29,212.98 is: 40,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,079.50 : 66,357 = 29,212.98 : x
  2. Step 2: Convert to fraction form
    48,079.50/66,357 = 29,212.98/x
  3. Step 3: Cross multiply
    48,079.50x = 66,357 × 29,212.98
  4. Step 4: Simplify right side
    48,079.50x = 1,938,485,713.86
  5. Step 5: Solve for x
    x = 1,938,485,713.86/48,079.50
  6. Step 6: Final answer
    x = 40,318.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.