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Finding the Fourth Proportional to 60,065.89, 82,795.50 and 47,298.82

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Solution

The fourth proportional to 60,065.89, 82,795.50 and 47,298.82 is: 65,197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,065.89 : 82,795.50 = 47,298.82 : x
  2. Step 2: Convert to fraction form
    60,065.89/82,795.50 = 47,298.82/x
  3. Step 3: Cross multiply
    60,065.89x = 82,795.50 × 47,298.82
  4. Step 4: Simplify right side
    60,065.89x = 3,916,129,451.31
  5. Step 5: Solve for x
    x = 3,916,129,451.31/60,065.89
  6. Step 6: Final answer
    x = 65,197.23

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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.