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Finding the Fourth Proportional to 64,164.16, 96,246.24 and 31,304

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Solution

The fourth proportional to 64,164.16, 96,246.24 and 31,304 is: 46,956

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,164.16 : 96,246.24 = 31,304 : x
  2. Step 2: Convert to fraction form
    64,164.16/96,246.24 = 31,304/x
  3. Step 3: Cross multiply
    64,164.16x = 96,246.24 × 31,304
  4. Step 4: Simplify right side
    64,164.16x = 3,012,892,296.96
  5. Step 5: Solve for x
    x = 3,012,892,296.96/64,164.16
  6. Step 6: Final answer
    x = 46,956

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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.