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Finding the Fourth Proportional to 86,430.24, 129,659.94 and 27,264.60

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Solution

The fourth proportional to 86,430.24, 129,659.94 and 27,264.60 is: 40,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,430.24 : 129,659.94 = 27,264.60 : x
  2. Step 2: Convert to fraction form
    86,430.24/129,659.94 = 27,264.60/x
  3. Step 3: Cross multiply
    86,430.24x = 129,659.94 × 27,264.60
  4. Step 4: Simplify right side
    86,430.24x = 3,535,126,400.12
  5. Step 5: Solve for x
    x = 3,535,126,400.12/86,430.24
  6. Step 6: Final answer
    x = 40,901.50

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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.