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Finding the Fourth Proportional to 75,254.50, 112,802.20 and 27,839.14

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Solution

The fourth proportional to 75,254.50, 112,802.20 and 27,839.14 is: 41,729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,254.50 : 112,802.20 = 27,839.14 : x
  2. Step 2: Convert to fraction form
    75,254.50/112,802.20 = 27,839.14/x
  3. Step 3: Cross multiply
    75,254.50x = 112,802.20 × 27,839.14
  4. Step 4: Simplify right side
    75,254.50x = 3,140,315,886.50
  5. Step 5: Solve for x
    x = 3,140,315,886.50/75,254.50
  6. Step 6: Final answer
    x = 41,729.28

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1.5x scale

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.