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Finding the Fourth Proportional to 66,294.84, 99,478.71 and 31,233.60

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Solution

The fourth proportional to 66,294.84, 99,478.71 and 31,233.60 is: 46,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,294.84 : 99,478.71 = 31,233.60 : x
  2. Step 2: Convert to fraction form
    66,294.84/99,478.71 = 31,233.60/x
  3. Step 3: Cross multiply
    66,294.84x = 99,478.71 × 31,233.60
  4. Step 4: Simplify right side
    66,294.84x = 3,107,078,236.66
  5. Step 5: Solve for x
    x = 3,107,078,236.66/66,294.84
  6. Step 6: Final answer
    x = 46,867.57

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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.