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Finding the Fourth Proportional to 65,846.31, 98,785.18 and 21,473.11

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Solution

The fourth proportional to 65,846.31, 98,785.18 and 21,473.11 is: 32,214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,846.31 : 98,785.18 = 21,473.11 : x
  2. Step 2: Convert to fraction form
    65,846.31/98,785.18 = 21,473.11/x
  3. Step 3: Cross multiply
    65,846.31x = 98,785.18 × 21,473.11
  4. Step 4: Simplify right side
    65,846.31x = 2,121,225,036.51
  5. Step 5: Solve for x
    x = 2,121,225,036.51/65,846.31
  6. Step 6: Final answer
    x = 32,214.79

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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.