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Finding the Fourth Proportional to 56,489.40, 84,734.10 and 34,346.16

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Solution

The fourth proportional to 56,489.40, 84,734.10 and 34,346.16 is: 51,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,489.40 : 84,734.10 = 34,346.16 : x
  2. Step 2: Convert to fraction form
    56,489.40/84,734.10 = 34,346.16/x
  3. Step 3: Cross multiply
    56,489.40x = 84,734.10 × 34,346.16
  4. Step 4: Simplify right side
    56,489.40x = 2,910,290,956.06
  5. Step 5: Solve for x
    x = 2,910,290,956.06/56,489.40
  6. Step 6: Final answer
    x = 51,519.24

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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.