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Finding the Fourth Proportional to 42,937.90, 59,242.19 and 27,831.20

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Solution

The fourth proportional to 42,937.90, 59,242.19 and 27,831.20 is: 38,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,937.90 : 59,242.19 = 27,831.20 : x
  2. Step 2: Convert to fraction form
    42,937.90/59,242.19 = 27,831.20/x
  3. Step 3: Cross multiply
    42,937.90x = 59,242.19 × 27,831.20
  4. Step 4: Simplify right side
    42,937.90x = 1,648,780,802.96
  5. Step 5: Solve for x
    x = 1,648,780,802.96/42,937.90
  6. Step 6: Final answer
    x = 38,399.20

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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.