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Finding the Fourth Proportional to 71,261.16, 106,809.12 and 26,859.48

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Solution

The fourth proportional to 71,261.16, 106,809.12 and 26,859.48 is: 40,258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,261.16 : 106,809.12 = 26,859.48 : x
  2. Step 2: Convert to fraction form
    71,261.16/106,809.12 = 26,859.48/x
  3. Step 3: Cross multiply
    71,261.16x = 106,809.12 × 26,859.48
  4. Step 4: Simplify right side
    71,261.16x = 2,868,837,422.46
  5. Step 5: Solve for x
    x = 2,868,837,422.46/71,261.16
  6. Step 6: Final answer
    x = 40,258.08

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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.