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Finding the Fourth Proportional to 82,030.50, 123,057.63 and 25,851.60

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Solution

The fourth proportional to 82,030.50, 123,057.63 and 25,851.60 is: 38,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,030.50 : 123,057.63 = 25,851.60 : x
  2. Step 2: Convert to fraction form
    82,030.50/123,057.63 = 25,851.60/x
  3. Step 3: Cross multiply
    82,030.50x = 123,057.63 × 25,851.60
  4. Step 4: Simplify right side
    82,030.50x = 3,181,236,627.71
  5. Step 5: Solve for x
    x = 3,181,236,627.71/82,030.50
  6. Step 6: Final answer
    x = 38,781.14

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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.