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Finding the Fourth Proportional to 98,859.24, 148,287.63 and 23,980

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Solution

The fourth proportional to 98,859.24, 148,287.63 and 23,980 is: 35,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,859.24 : 148,287.63 = 23,980 : x
  2. Step 2: Convert to fraction form
    98,859.24/148,287.63 = 23,980/x
  3. Step 3: Cross multiply
    98,859.24x = 148,287.63 × 23,980
  4. Step 4: Simplify right side
    98,859.24x = 3,555,937,367.40
  5. Step 5: Solve for x
    x = 3,555,937,367.40/98,859.24
  6. Step 6: Final answer
    x = 35,969.70

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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.