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Finding the Fourth Proportional to 102,032.85, 153,049.08 and 27,153

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Solution

The fourth proportional to 102,032.85, 153,049.08 and 27,153 is: 40,729.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,032.85 : 153,049.08 = 27,153 : x
  2. Step 2: Convert to fraction form
    102,032.85/153,049.08 = 27,153/x
  3. Step 3: Cross multiply
    102,032.85x = 153,049.08 × 27,153
  4. Step 4: Simplify right side
    102,032.85x = 4,155,741,669.24
  5. Step 5: Solve for x
    x = 4,155,741,669.24/102,032.85
  6. Step 6: Final answer
    x = 40,729.45

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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.