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Finding the Fourth Proportional to 32,842, 49,270.38 and 9,466.66

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Solution

The fourth proportional to 32,842, 49,270.38 and 9,466.66 is: 14,202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842 : 49,270.38 = 9,466.66 : x
  2. Step 2: Convert to fraction form
    32,842/49,270.38 = 9,466.66/x
  3. Step 3: Cross multiply
    32,842x = 49,270.38 × 9,466.66
  4. Step 4: Simplify right side
    32,842x = 466,425,935.53
  5. Step 5: Solve for x
    x = 466,425,935.53/32,842
  6. Step 6: Final answer
    x = 14,202.12

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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.