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Finding the Fourth Proportional to 89,259.84, 123,177.52 and 48,973.96

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Solution

The fourth proportional to 89,259.84, 123,177.52 and 48,973.96 is: 67,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,259.84 : 123,177.52 = 48,973.96 : x
  2. Step 2: Convert to fraction form
    89,259.84/123,177.52 = 48,973.96/x
  3. Step 3: Cross multiply
    89,259.84x = 123,177.52 × 48,973.96
  4. Step 4: Simplify right side
    89,259.84x = 6,032,490,937.38
  5. Step 5: Solve for x
    x = 6,032,490,937.38/89,259.84
  6. Step 6: Final answer
    x = 67,583.48

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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.