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Finding the Fourth Proportional to 32,046.67, 48,062.11 and 14,513.01

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Solution

The fourth proportional to 32,046.67, 48,062.11 and 14,513.01 is: 21,765.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,046.67 : 48,062.11 = 14,513.01 : x
  2. Step 2: Convert to fraction form
    32,046.67/48,062.11 = 14,513.01/x
  3. Step 3: Cross multiply
    32,046.67x = 48,062.11 × 14,513.01
  4. Step 4: Simplify right side
    32,046.67x = 697,525,883.05
  5. Step 5: Solve for x
    x = 697,525,883.05/32,046.67
  6. Step 6: Final answer
    x = 21,765.94

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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.