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Finding the Fourth Proportional to 65,253.84, 97,867.80 and 31,959.60

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Solution

The fourth proportional to 65,253.84, 97,867.80 and 31,959.60 is: 47,933.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,253.84 : 97,867.80 = 31,959.60 : x
  2. Step 2: Convert to fraction form
    65,253.84/97,867.80 = 31,959.60/x
  3. Step 3: Cross multiply
    65,253.84x = 97,867.80 × 31,959.60
  4. Step 4: Simplify right side
    65,253.84x = 3,127,815,740.88
  5. Step 5: Solve for x
    x = 3,127,815,740.88/65,253.84
  6. Step 6: Final answer
    x = 47,933.05

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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.