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Finding the Fourth Proportional to 82,129.56, 122,886.72 and 58,491.72

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Solution

The fourth proportional to 82,129.56, 122,886.72 and 58,491.72 is: 87,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,129.56 : 122,886.72 = 58,491.72 : x
  2. Step 2: Convert to fraction form
    82,129.56/122,886.72 = 58,491.72/x
  3. Step 3: Cross multiply
    82,129.56x = 122,886.72 × 58,491.72
  4. Step 4: Simplify right side
    82,129.56x = 7,187,855,617.96
  5. Step 5: Solve for x
    x = 7,187,855,617.96/82,129.56
  6. Step 6: Final answer
    x = 87,518.50

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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.