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Finding the Fourth Proportional to 41,275.68, 56,925.36 and 27,844.80

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Solution

The fourth proportional to 41,275.68, 56,925.36 and 27,844.80 is: 38,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,275.68 : 56,925.36 = 27,844.80 : x
  2. Step 2: Convert to fraction form
    41,275.68/56,925.36 = 27,844.80/x
  3. Step 3: Cross multiply
    41,275.68x = 56,925.36 × 27,844.80
  4. Step 4: Simplify right side
    41,275.68x = 1,585,075,264.13
  5. Step 5: Solve for x
    x = 1,585,075,264.13/41,275.68
  6. Step 6: Final answer
    x = 38,402.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.