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Finding the Fourth Proportional to 65,253.34, 97,867.05 and 31,959.10

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Solution

The fourth proportional to 65,253.34, 97,867.05 and 31,959.10 is: 47,932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,253.34 : 97,867.05 = 31,959.10 : x
  2. Step 2: Convert to fraction form
    65,253.34/97,867.05 = 31,959.10/x
  3. Step 3: Cross multiply
    65,253.34x = 97,867.05 × 31,959.10
  4. Step 4: Simplify right side
    65,253.34x = 3,127,742,837.66
  5. Step 5: Solve for x
    x = 3,127,742,837.66/65,253.34
  6. Step 6: Final answer
    x = 47,932.30

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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.