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Finding the Fourth Proportional to 47,252.87, 65,180.12 and 28,119.81

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Solution

The fourth proportional to 47,252.87, 65,180.12 and 28,119.81 is: 38,788.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,252.87 : 65,180.12 = 28,119.81 : x
  2. Step 2: Convert to fraction form
    47,252.87/65,180.12 = 28,119.81/x
  3. Step 3: Cross multiply
    47,252.87x = 65,180.12 × 28,119.81
  4. Step 4: Simplify right side
    47,252.87x = 1,832,852,406.45
  5. Step 5: Solve for x
    x = 1,832,852,406.45/47,252.87
  6. Step 6: Final answer
    x = 38,788.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.