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Finding the Fourth Proportional to 42,937.94, 59,242.22 and 27,831.24

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Solution

The fourth proportional to 42,937.94, 59,242.22 and 27,831.24 is: 38,399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,937.94 : 59,242.22 = 27,831.24 : x
  2. Step 2: Convert to fraction form
    42,937.94/59,242.22 = 27,831.24/x
  3. Step 3: Cross multiply
    42,937.94x = 59,242.22 × 27,831.24
  4. Step 4: Simplify right side
    42,937.94x = 1,648,784,442.95
  5. Step 5: Solve for x
    x = 1,648,784,442.95/42,937.94
  6. Step 6: Final answer
    x = 38,399.24

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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.