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Finding the Fourth Proportional to 65,691.64, 98,538.94 and 23,574.52

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Solution

The fourth proportional to 65,691.64, 98,538.94 and 23,574.52 is: 35,362.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,691.64 : 98,538.94 = 23,574.52 : x
  2. Step 2: Convert to fraction form
    65,691.64/98,538.94 = 23,574.52/x
  3. Step 3: Cross multiply
    65,691.64x = 98,538.94 × 23,574.52
  4. Step 4: Simplify right side
    65,691.64x = 2,323,008,211.81
  5. Step 5: Solve for x
    x = 2,323,008,211.81/65,691.64
  6. Step 6: Final answer
    x = 35,362.31

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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.