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Finding the Fourth Proportional to 48,480.65, 66,848.14 and 34,135.90

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Solution

The fourth proportional to 48,480.65, 66,848.14 and 34,135.90 is: 47,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,480.65 : 66,848.14 = 34,135.90 : x
  2. Step 2: Convert to fraction form
    48,480.65/66,848.14 = 34,135.90/x
  3. Step 3: Cross multiply
    48,480.65x = 66,848.14 × 34,135.90
  4. Step 4: Simplify right side
    48,480.65x = 2,281,921,422.23
  5. Step 5: Solve for x
    x = 2,281,921,422.23/48,480.65
  6. Step 6: Final answer
    x = 47,068.71

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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.