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Finding the Fourth Proportional to 65,232.47, 97,854.82 and 20,848.66

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Solution

The fourth proportional to 65,232.47, 97,854.82 and 20,848.66 is: 31,274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,232.47 : 97,854.82 = 20,848.66 : x
  2. Step 2: Convert to fraction form
    65,232.47/97,854.82 = 20,848.66/x
  3. Step 3: Cross multiply
    65,232.47x = 97,854.82 × 20,848.66
  4. Step 4: Simplify right side
    65,232.47x = 2,040,141,574.78
  5. Step 5: Solve for x
    x = 2,040,141,574.78/65,232.47
  6. Step 6: Final answer
    x = 31,274.94

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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.