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Finding the Fourth Proportional to 97,494.79, 146,250.45 and 27,374.10

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Solution

The fourth proportional to 97,494.79, 146,250.45 and 27,374.10 is: 41,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,494.79 : 146,250.45 = 27,374.10 : x
  2. Step 2: Convert to fraction form
    97,494.79/146,250.45 = 27,374.10/x
  3. Step 3: Cross multiply
    97,494.79x = 146,250.45 × 27,374.10
  4. Step 4: Simplify right side
    97,494.79x = 4,003,473,712.09
  5. Step 5: Solve for x
    x = 4,003,473,712.09/97,494.79
  6. Step 6: Final answer
    x = 41,063.47

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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.