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Finding the Fourth Proportional to 71,574.84, 107,381.70 and 24,831.36

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Solution

The fourth proportional to 71,574.84, 107,381.70 and 24,831.36 is: 37,253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,574.84 : 107,381.70 = 24,831.36 : x
  2. Step 2: Convert to fraction form
    71,574.84/107,381.70 = 24,831.36/x
  3. Step 3: Cross multiply
    71,574.84x = 107,381.70 × 24,831.36
  4. Step 4: Simplify right side
    71,574.84x = 2,666,433,650.11
  5. Step 5: Solve for x
    x = 2,666,433,650.11/71,574.84
  6. Step 6: Final answer
    x = 37,253.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.