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Finding the Fourth Proportional to 75,291.32, 103,901.29 and 41,299.13

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Solution

The fourth proportional to 75,291.32, 103,901.29 and 41,299.13 is: 56,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,291.32 : 103,901.29 = 41,299.13 : x
  2. Step 2: Convert to fraction form
    75,291.32/103,901.29 = 41,299.13/x
  3. Step 3: Cross multiply
    75,291.32x = 103,901.29 × 41,299.13
  4. Step 4: Simplify right side
    75,291.32x = 4,291,033,039.38
  5. Step 5: Solve for x
    x = 4,291,033,039.38/75,291.32
  6. Step 6: Final answer
    x = 56,992.40

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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.