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Finding the Fourth Proportional to 97,098.21, 145,703.94 and 40,934.88

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Solution

The fourth proportional to 97,098.21, 145,703.94 and 40,934.88 is: 61,426.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,098.21 : 145,703.94 = 40,934.88 : x
  2. Step 2: Convert to fraction form
    97,098.21/145,703.94 = 40,934.88/x
  3. Step 3: Cross multiply
    97,098.21x = 145,703.94 × 40,934.88
  4. Step 4: Simplify right side
    97,098.21x = 5,964,373,299.43
  5. Step 5: Solve for x
    x = 5,964,373,299.43/97,098.21
  6. Step 6: Final answer
    x = 61,426.19

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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.