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Finding the Fourth Proportional to 109,871.75, 164,824.07 and 39,767.46

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Solution

The fourth proportional to 109,871.75, 164,824.07 and 39,767.46 is: 59,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,871.75 : 164,824.07 = 39,767.46 : x
  2. Step 2: Convert to fraction form
    109,871.75/164,824.07 = 39,767.46/x
  3. Step 3: Cross multiply
    109,871.75x = 164,824.07 × 39,767.46
  4. Step 4: Simplify right side
    109,871.75x = 6,554,634,411.92
  5. Step 5: Solve for x
    x = 6,554,634,411.92/109,871.75
  6. Step 6: Final answer
    x = 59,657.14

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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.