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Finding the Fourth Proportional to 89,730, 123,829.96 and 49,988.56

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Solution

The fourth proportional to 89,730, 123,829.96 and 49,988.56 is: 68,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,730 : 123,829.96 = 49,988.56 : x
  2. Step 2: Convert to fraction form
    89,730/123,829.96 = 49,988.56/x
  3. Step 3: Cross multiply
    89,730x = 123,829.96 × 49,988.56
  4. Step 4: Simplify right side
    89,730x = 6,190,081,385.26
  5. Step 5: Solve for x
    x = 6,190,081,385.26/89,730
  6. Step 6: Final answer
    x = 68,985.64

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