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Finding the Fourth Proportional to 48,654, 72,886.59 and 31,963.38

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Solution

The fourth proportional to 48,654, 72,886.59 and 31,963.38 is: 47,883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,654 : 72,886.59 = 31,963.38 : x
  2. Step 2: Convert to fraction form
    48,654/72,886.59 = 31,963.38/x
  3. Step 3: Cross multiply
    48,654x = 72,886.59 × 31,963.38
  4. Step 4: Simplify right side
    48,654x = 2,329,701,773.07
  5. Step 5: Solve for x
    x = 2,329,701,773.07/48,654
  6. Step 6: Final answer
    x = 47,883.05

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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.