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Finding the Fourth Proportional to 47,364.08, 65,340.16 and 28,232.96

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Solution

The fourth proportional to 47,364.08, 65,340.16 and 28,232.96 is: 38,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,364.08 : 65,340.16 = 28,232.96 : x
  2. Step 2: Convert to fraction form
    47,364.08/65,340.16 = 28,232.96/x
  3. Step 3: Cross multiply
    47,364.08x = 65,340.16 × 28,232.96
  4. Step 4: Simplify right side
    47,364.08x = 1,844,745,686.69
  5. Step 5: Solve for x
    x = 1,844,745,686.69/47,364.08
  6. Step 6: Final answer
    x = 38,948.20

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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.