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Finding the Fourth Proportional to 73,966.38, 102,048.69 and 42,112.74

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Solution

The fourth proportional to 73,966.38, 102,048.69 and 42,112.74 is: 58,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,966.38 : 102,048.69 = 42,112.74 : x
  2. Step 2: Convert to fraction form
    73,966.38/102,048.69 = 42,112.74/x
  3. Step 3: Cross multiply
    73,966.38x = 102,048.69 × 42,112.74
  4. Step 4: Simplify right side
    73,966.38x = 4,297,549,949.31
  5. Step 5: Solve for x
    x = 4,297,549,949.31/73,966.38
  6. Step 6: Final answer
    x = 58,101.40

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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.