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Finding the Fourth Proportional to 117,846, 176,532.48 and 58,502.16

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Solution

The fourth proportional to 117,846, 176,532.48 and 58,502.16 is: 87,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,846 : 176,532.48 = 58,502.16 : x
  2. Step 2: Convert to fraction form
    117,846/176,532.48 = 58,502.16/x
  3. Step 3: Cross multiply
    117,846x = 176,532.48 × 58,502.16
  4. Step 4: Simplify right side
    117,846x = 10,327,531,390.16
  5. Step 5: Solve for x
    x = 10,327,531,390.16/117,846
  6. Step 6: Final answer
    x = 87,635.82

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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.