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Finding the Fourth Proportional to 75,460.92, 113,018.82 and 36,045.72

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Solution

The fourth proportional to 75,460.92, 113,018.82 and 36,045.72 is: 53,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,460.92 : 113,018.82 = 36,045.72 : x
  2. Step 2: Convert to fraction form
    75,460.92/113,018.82 = 36,045.72/x
  3. Step 3: Cross multiply
    75,460.92x = 113,018.82 × 36,045.72
  4. Step 4: Simplify right side
    75,460.92x = 4,073,844,740.45
  5. Step 5: Solve for x
    x = 4,073,844,740.45/75,460.92
  6. Step 6: Final answer
    x = 53,986.15

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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.