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Finding the Fourth Proportional to 48,924, 67,515.12 and 29,052

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Solution

The fourth proportional to 48,924, 67,515.12 and 29,052 is: 40,091.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,924 : 67,515.12 = 29,052 : x
  2. Step 2: Convert to fraction form
    48,924/67,515.12 = 29,052/x
  3. Step 3: Cross multiply
    48,924x = 67,515.12 × 29,052
  4. Step 4: Simplify right side
    48,924x = 1,961,449,266.24
  5. Step 5: Solve for x
    x = 1,961,449,266.24/48,924
  6. Step 6: Final answer
    x = 40,091.76

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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.