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Finding the Fourth Proportional to 84,401.90, 126,566.40 and 42,265.70

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Solution

The fourth proportional to 84,401.90, 126,566.40 and 42,265.70 is: 63,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,401.90 : 126,566.40 = 42,265.70 : x
  2. Step 2: Convert to fraction form
    84,401.90/126,566.40 = 42,265.70/x
  3. Step 3: Cross multiply
    84,401.90x = 126,566.40 × 42,265.70
  4. Step 4: Simplify right side
    84,401.90x = 5,349,417,492.48
  5. Step 5: Solve for x
    x = 5,349,417,492.48/84,401.90
  6. Step 6: Final answer
    x = 63,380.30

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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.