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Finding the Fourth Proportional to 89,399.61, 123,373.74 and 49,114.38

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Solution

The fourth proportional to 89,399.61, 123,373.74 and 49,114.38 is: 67,779.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,399.61 : 123,373.74 = 49,114.38 : x
  2. Step 2: Convert to fraction form
    89,399.61/123,373.74 = 49,114.38/x
  3. Step 3: Cross multiply
    89,399.61x = 123,373.74 × 49,114.38
  4. Step 4: Simplify right side
    89,399.61x = 6,059,424,893.24
  5. Step 5: Solve for x
    x = 6,059,424,893.24/89,399.61
  6. Step 6: Final answer
    x = 67,779.10

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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.