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Finding the Fourth Proportional to 65,275.04, 97,921.97 and 24,763.48

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Solution

The fourth proportional to 65,275.04, 97,921.97 and 24,763.48 is: 37,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,275.04 : 97,921.97 = 24,763.48 : x
  2. Step 2: Convert to fraction form
    65,275.04/97,921.97 = 24,763.48/x
  3. Step 3: Cross multiply
    65,275.04x = 97,921.97 × 24,763.48
  4. Step 4: Simplify right side
    65,275.04x = 2,424,888,745.66
  5. Step 5: Solve for x
    x = 2,424,888,745.66/65,275.04
  6. Step 6: Final answer
    x = 37,148.79

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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.