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Finding the Fourth Proportional to 72,682.80, 109,036.34 and 22,752.96

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Solution

The fourth proportional to 72,682.80, 109,036.34 and 22,752.96 is: 34,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,682.80 : 109,036.34 = 22,752.96 : x
  2. Step 2: Convert to fraction form
    72,682.80/109,036.34 = 22,752.96/x
  3. Step 3: Cross multiply
    72,682.80x = 109,036.34 × 22,752.96
  4. Step 4: Simplify right side
    72,682.80x = 2,480,899,482.57
  5. Step 5: Solve for x
    x = 2,480,899,482.57/72,682.80
  6. Step 6: Final answer
    x = 34,133.24

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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.