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Finding the Fourth Proportional to 60,294.56, 83,233.68 and 52,196

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Solution

The fourth proportional to 60,294.56, 83,233.68 and 52,196 is: 72,054.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,294.56 : 83,233.68 = 52,196 : x
  2. Step 2: Convert to fraction form
    60,294.56/83,233.68 = 52,196/x
  3. Step 3: Cross multiply
    60,294.56x = 83,233.68 × 52,196
  4. Step 4: Simplify right side
    60,294.56x = 4,344,465,161.28
  5. Step 5: Solve for x
    x = 4,344,465,161.28/60,294.56
  6. Step 6: Final answer
    x = 72,054.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.