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Finding the Fourth Proportional to 97,658.32, 146,494.80 and 41,492.10

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Solution

The fourth proportional to 97,658.32, 146,494.80 and 41,492.10 is: 62,241.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,658.32 : 146,494.80 = 41,492.10 : x
  2. Step 2: Convert to fraction form
    97,658.32/146,494.80 = 41,492.10/x
  3. Step 3: Cross multiply
    97,658.32x = 146,494.80 × 41,492.10
  4. Step 4: Simplify right side
    97,658.32x = 6,078,376,891.08
  5. Step 5: Solve for x
    x = 6,078,376,891.08/97,658.32
  6. Step 6: Final answer
    x = 62,241.26

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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.