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Finding the Fourth Proportional to 75,534.92, 113,352.29 and 35,565.33

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Solution

The fourth proportional to 75,534.92, 113,352.29 and 35,565.33 is: 53,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,534.92 : 113,352.29 = 35,565.33 : x
  2. Step 2: Convert to fraction form
    75,534.92/113,352.29 = 35,565.33/x
  3. Step 3: Cross multiply
    75,534.92x = 113,352.29 × 35,565.33
  4. Step 4: Simplify right side
    75,534.92x = 4,031,411,422.28
  5. Step 5: Solve for x
    x = 4,031,411,422.28/75,534.92
  6. Step 6: Final answer
    x = 53,371.50

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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.