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Finding the Fourth Proportional to 65,242.75, 97,879.68 and 23,126.51

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Solution

The fourth proportional to 65,242.75, 97,879.68 and 23,126.51 is: 34,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,242.75 : 97,879.68 = 23,126.51 : x
  2. Step 2: Convert to fraction form
    65,242.75/97,879.68 = 23,126.51/x
  3. Step 3: Cross multiply
    65,242.75x = 97,879.68 × 23,126.51
  4. Step 4: Simplify right side
    65,242.75x = 2,263,615,398.32
  5. Step 5: Solve for x
    x = 2,263,615,398.32/65,242.75
  6. Step 6: Final answer
    x = 34,695.28

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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.