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Finding the Fourth Proportional to 107,215.38, 147,974.94 and 59,484.10

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Solution

The fourth proportional to 107,215.38, 147,974.94 and 59,484.10 is: 82,097.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,215.38 : 147,974.94 = 59,484.10 : x
  2. Step 2: Convert to fraction form
    107,215.38/147,974.94 = 59,484.10/x
  3. Step 3: Cross multiply
    107,215.38x = 147,974.94 × 59,484.10
  4. Step 4: Simplify right side
    107,215.38x = 8,802,156,128.45
  5. Step 5: Solve for x
    x = 8,802,156,128.45/107,215.38
  6. Step 6: Final answer
    x = 82,097.89

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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.