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Finding the Fourth Proportional to 90,253.92, 135,401.65 and 30,290.36

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Solution

The fourth proportional to 90,253.92, 135,401.65 and 30,290.36 is: 45,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,253.92 : 135,401.65 = 30,290.36 : x
  2. Step 2: Convert to fraction form
    90,253.92/135,401.65 = 30,290.36/x
  3. Step 3: Cross multiply
    90,253.92x = 135,401.65 × 30,290.36
  4. Step 4: Simplify right side
    90,253.92x = 4,101,363,970.36
  5. Step 5: Solve for x
    x = 4,101,363,970.36/90,253.92
  6. Step 6: Final answer
    x = 45,442.50

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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.