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Finding the Fourth Proportional to 97,658.34, 146,489.28 and 34,476.93

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Solution

The fourth proportional to 97,658.34, 146,489.28 and 34,476.93 is: 51,716.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,658.34 : 146,489.28 = 34,476.93 : x
  2. Step 2: Convert to fraction form
    97,658.34/146,489.28 = 34,476.93/x
  3. Step 3: Cross multiply
    97,658.34x = 146,489.28 × 34,476.93
  4. Step 4: Simplify right side
    97,658.34x = 5,050,500,652.31
  5. Step 5: Solve for x
    x = 5,050,500,652.31/97,658.34
  6. Step 6: Final answer
    x = 51,716.02

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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.