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Finding the Fourth Proportional to 75,882, 113,822.82 and 25,962.60

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Solution

The fourth proportional to 75,882, 113,822.82 and 25,962.60 is: 38,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,882 : 113,822.82 = 25,962.60 : x
  2. Step 2: Convert to fraction form
    75,882/113,822.82 = 25,962.60/x
  3. Step 3: Cross multiply
    75,882x = 113,822.82 × 25,962.60
  4. Step 4: Simplify right side
    75,882x = 2,955,136,346.53
  5. Step 5: Solve for x
    x = 2,955,136,346.53/75,882
  6. Step 6: Final answer
    x = 38,943.84

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1.5x scale

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.