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Finding the Fourth Proportional to 65,042.24, 97,552.02 and 18,284

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Solution

The fourth proportional to 65,042.24, 97,552.02 and 18,284 is: 27,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,042.24 : 97,552.02 = 18,284 : x
  2. Step 2: Convert to fraction form
    65,042.24/97,552.02 = 18,284/x
  3. Step 3: Cross multiply
    65,042.24x = 97,552.02 × 18,284
  4. Step 4: Simplify right side
    65,042.24x = 1,783,641,133.68
  5. Step 5: Solve for x
    x = 1,783,641,133.68/65,042.24
  6. Step 6: Final answer
    x = 27,422.81

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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.