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Finding the Fourth Proportional to 61,431.66, 92,142.99 and 23,984.64

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Solution

The fourth proportional to 61,431.66, 92,142.99 and 23,984.64 is: 35,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,431.66 : 92,142.99 = 23,984.64 : x
  2. Step 2: Convert to fraction form
    61,431.66/92,142.99 = 23,984.64/x
  3. Step 3: Cross multiply
    61,431.66x = 92,142.99 × 23,984.64
  4. Step 4: Simplify right side
    61,431.66x = 2,210,016,443.67
  5. Step 5: Solve for x
    x = 2,210,016,443.67/61,431.66
  6. Step 6: Final answer
    x = 35,975.20

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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.