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Finding the Fourth Proportional to 103,202, 154,783.42 and 32,125.52

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Solution

The fourth proportional to 103,202, 154,783.42 and 32,125.52 is: 48,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,202 : 154,783.42 = 32,125.52 : x
  2. Step 2: Convert to fraction form
    103,202/154,783.42 = 32,125.52/x
  3. Step 3: Cross multiply
    103,202x = 154,783.42 × 32,125.52
  4. Step 4: Simplify right side
    103,202x = 4,972,497,854.88
  5. Step 5: Solve for x
    x = 4,972,497,854.88/103,202
  6. Step 6: Final answer
    x = 48,182.18

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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.