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Finding the Fourth Proportional to 74,145.38, 102,320.62 and 42,313.59

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Solution

The fourth proportional to 74,145.38, 102,320.62 and 42,313.59 is: 58,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,145.38 : 102,320.62 = 42,313.59 : x
  2. Step 2: Convert to fraction form
    74,145.38/102,320.62 = 42,313.59/x
  3. Step 3: Cross multiply
    74,145.38x = 102,320.62 × 42,313.59
  4. Step 4: Simplify right side
    74,145.38x = 4,329,552,657.44
  5. Step 5: Solve for x
    x = 4,329,552,657.44/74,145.38
  6. Step 6: Final answer
    x = 58,392.75

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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.