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Finding the Fourth Proportional to 45,882, 63,327.60 and 27,025.20

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Solution

The fourth proportional to 45,882, 63,327.60 and 27,025.20 is: 37,300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,882 : 63,327.60 = 27,025.20 : x
  2. Step 2: Convert to fraction form
    45,882/63,327.60 = 27,025.20/x
  3. Step 3: Cross multiply
    45,882x = 63,327.60 × 27,025.20
  4. Step 4: Simplify right side
    45,882x = 1,711,441,055.52
  5. Step 5: Solve for x
    x = 1,711,441,055.52/45,882
  6. Step 6: Final answer
    x = 37,300.93

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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.