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Finding the Fourth Proportional to 61,466, 92,178.48 and 24,016.32

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Solution

The fourth proportional to 61,466, 92,178.48 and 24,016.32 is: 36,016.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,466 : 92,178.48 = 24,016.32 : x
  2. Step 2: Convert to fraction form
    61,466/92,178.48 = 24,016.32/x
  3. Step 3: Cross multiply
    61,466x = 92,178.48 × 24,016.32
  4. Step 4: Simplify right side
    61,466x = 2,213,787,872.79
  5. Step 5: Solve for x
    x = 2,213,787,872.79/61,466
  6. Step 6: Final answer
    x = 36,016.46

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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.