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Finding the Fourth Proportional to 65,262.96, 97,718.76 and 34,032.24

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Solution

The fourth proportional to 65,262.96, 97,718.76 and 34,032.24 is: 50,956.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,262.96 : 97,718.76 = 34,032.24 : x
  2. Step 2: Convert to fraction form
    65,262.96/97,718.76 = 34,032.24/x
  3. Step 3: Cross multiply
    65,262.96x = 97,718.76 × 34,032.24
  4. Step 4: Simplify right side
    65,262.96x = 3,325,588,292.82
  5. Step 5: Solve for x
    x = 3,325,588,292.82/65,262.96
  6. Step 6: Final answer
    x = 50,956.75

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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.