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Finding the Fourth Proportional to 103,975.76, 155,963.64 and 33,862.16

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Solution

The fourth proportional to 103,975.76, 155,963.64 and 33,862.16 is: 50,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,975.76 : 155,963.64 = 33,862.16 : x
  2. Step 2: Convert to fraction form
    103,975.76/155,963.64 = 33,862.16/x
  3. Step 3: Cross multiply
    103,975.76x = 155,963.64 × 33,862.16
  4. Step 4: Simplify right side
    103,975.76x = 5,281,265,731.86
  5. Step 5: Solve for x
    x = 5,281,265,731.86/103,975.76
  6. Step 6: Final answer
    x = 50,793.24

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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.