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Finding the Fourth Proportional to 97,658.97, 146,475.49 and 27,543.93

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Solution

The fourth proportional to 97,658.97, 146,475.49 and 27,543.93 is: 41,312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,658.97 : 146,475.49 = 27,543.93 : x
  2. Step 2: Convert to fraction form
    97,658.97/146,475.49 = 27,543.93/x
  3. Step 3: Cross multiply
    97,658.97x = 146,475.49 × 27,543.93
  4. Step 4: Simplify right side
    97,658.97x = 4,034,510,643.28
  5. Step 5: Solve for x
    x = 4,034,510,643.28/97,658.97
  6. Step 6: Final answer
    x = 41,312.24

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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.