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Finding the Fourth Proportional to 27,254.88, 40,875.84 and 7,531.20

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Solution

The fourth proportional to 27,254.88, 40,875.84 and 7,531.20 is: 11,295.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,254.88 : 40,875.84 = 7,531.20 : x
  2. Step 2: Convert to fraction form
    27,254.88/40,875.84 = 7,531.20/x
  3. Step 3: Cross multiply
    27,254.88x = 40,875.84 × 7,531.20
  4. Step 4: Simplify right side
    27,254.88x = 307,844,126.21
  5. Step 5: Solve for x
    x = 307,844,126.21/27,254.88
  6. Step 6: Final answer
    x = 11,295.01

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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.