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Finding the Fourth Proportional to 76,148.84, 105,097.88 and 52,255.88

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Solution

The fourth proportional to 76,148.84, 105,097.88 and 52,255.88 is: 72,121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,148.84 : 105,097.88 = 52,255.88 : x
  2. Step 2: Convert to fraction form
    76,148.84/105,097.88 = 52,255.88/x
  3. Step 3: Cross multiply
    76,148.84x = 105,097.88 × 52,255.88
  4. Step 4: Simplify right side
    76,148.84x = 5,491,982,205.53
  5. Step 5: Solve for x
    x = 5,491,982,205.53/76,148.84
  6. Step 6: Final answer
    x = 72,121.68

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1.5x scale

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.