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Finding the Fourth Proportional to 61,867.12, 92,807.16 and 20,314.16

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Solution

The fourth proportional to 61,867.12, 92,807.16 and 20,314.16 is: 30,473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,867.12 : 92,807.16 = 20,314.16 : x
  2. Step 2: Convert to fraction form
    61,867.12/92,807.16 = 20,314.16/x
  3. Step 3: Cross multiply
    61,867.12x = 92,807.16 × 20,314.16
  4. Step 4: Simplify right side
    61,867.12x = 1,885,299,497.39
  5. Step 5: Solve for x
    x = 1,885,299,497.39/61,867.12
  6. Step 6: Final answer
    x = 30,473.37

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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.