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Finding the Fourth Proportional to 84,585.88, 126,868.70 and 22,261.24

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Solution

The fourth proportional to 84,585.88, 126,868.70 and 22,261.24 is: 33,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,585.88 : 126,868.70 = 22,261.24 : x
  2. Step 2: Convert to fraction form
    84,585.88/126,868.70 = 22,261.24/x
  3. Step 3: Cross multiply
    84,585.88x = 126,868.70 × 22,261.24
  4. Step 4: Simplify right side
    84,585.88x = 2,824,254,579.19
  5. Step 5: Solve for x
    x = 2,824,254,579.19/84,585.88
  6. Step 6: Final answer
    x = 33,389.20

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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.