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Finding the Fourth Proportional to 56,192.04, 77,544 and 31,041

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Solution

The fourth proportional to 56,192.04, 77,544 and 31,041 is: 42,836.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,192.04 : 77,544 = 31,041 : x
  2. Step 2: Convert to fraction form
    56,192.04/77,544 = 31,041/x
  3. Step 3: Cross multiply
    56,192.04x = 77,544 × 31,041
  4. Step 4: Simplify right side
    56,192.04x = 2,407,043,304
  5. Step 5: Solve for x
    x = 2,407,043,304/56,192.04
  6. Step 6: Final answer
    x = 42,836.02

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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.