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Finding the Fourth Proportional to 86,523.40, 129,809.40 and 42,151.60

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Solution

The fourth proportional to 86,523.40, 129,809.40 and 42,151.60 is: 63,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,523.40 : 129,809.40 = 42,151.60 : x
  2. Step 2: Convert to fraction form
    86,523.40/129,809.40 = 42,151.60/x
  3. Step 3: Cross multiply
    86,523.40x = 129,809.40 × 42,151.60
  4. Step 4: Simplify right side
    86,523.40x = 5,471,673,905.04
  5. Step 5: Solve for x
    x = 5,471,673,905.04/86,523.40
  6. Step 6: Final answer
    x = 63,239.24

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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.