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Finding the Fourth Proportional to 82,928.92, 114,351.52 and 56,024.72

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Solution

The fourth proportional to 82,928.92, 114,351.52 and 56,024.72 is: 77,253.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,928.92 : 114,351.52 = 56,024.72 : x
  2. Step 2: Convert to fraction form
    82,928.92/114,351.52 = 56,024.72/x
  3. Step 3: Cross multiply
    82,928.92x = 114,351.52 × 56,024.72
  4. Step 4: Simplify right side
    82,928.92x = 6,406,511,889.57
  5. Step 5: Solve for x
    x = 6,406,511,889.57/82,928.92
  6. Step 6: Final answer
    x = 77,253.05

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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.