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Finding the Fourth Proportional to 40,451.88, 55,825.49 and 22,547

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Solution

The fourth proportional to 40,451.88, 55,825.49 and 22,547 is: 31,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,451.88 : 55,825.49 = 22,547 : x
  2. Step 2: Convert to fraction form
    40,451.88/55,825.49 = 22,547/x
  3. Step 3: Cross multiply
    40,451.88x = 55,825.49 × 22,547
  4. Step 4: Simplify right side
    40,451.88x = 1,258,697,323.03
  5. Step 5: Solve for x
    x = 1,258,697,323.03/40,451.88
  6. Step 6: Final answer
    x = 31,115.92

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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.