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Finding the Fourth Proportional to 67,913.76, 93,715.84 and 38,100

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Solution

The fourth proportional to 67,913.76, 93,715.84 and 38,100 is: 52,575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,913.76 : 93,715.84 = 38,100 : x
  2. Step 2: Convert to fraction form
    67,913.76/93,715.84 = 38,100/x
  3. Step 3: Cross multiply
    67,913.76x = 93,715.84 × 38,100
  4. Step 4: Simplify right side
    67,913.76x = 3,570,573,504
  5. Step 5: Solve for x
    x = 3,570,573,504/67,913.76
  6. Step 6: Final answer
    x = 52,575.11

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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.