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Finding the Fourth Proportional to 48,963, 67,574.70 and 29,091

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Solution

The fourth proportional to 48,963, 67,574.70 and 29,091 is: 40,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,963 : 67,574.70 = 29,091 : x
  2. Step 2: Convert to fraction form
    48,963/67,574.70 = 29,091/x
  3. Step 3: Cross multiply
    48,963x = 67,574.70 × 29,091
  4. Step 4: Simplify right side
    48,963x = 1,965,815,597.70
  5. Step 5: Solve for x
    x = 1,965,815,597.70/48,963
  6. Step 6: Final answer
    x = 40,149.00

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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.