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Finding the Fourth Proportional to 72,718.44, 109,065.51 and 20,133.24

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Solution

The fourth proportional to 72,718.44, 109,065.51 and 20,133.24 is: 30,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,718.44 : 109,065.51 = 20,133.24 : x
  2. Step 2: Convert to fraction form
    72,718.44/109,065.51 = 20,133.24/x
  3. Step 3: Cross multiply
    72,718.44x = 109,065.51 × 20,133.24
  4. Step 4: Simplify right side
    72,718.44x = 2,195,842,088.55
  5. Step 5: Solve for x
    x = 2,195,842,088.55/72,718.44
  6. Step 6: Final answer
    x = 30,196.50

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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.