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Finding the Fourth Proportional to 73,242.58, 109,859.20 and 23,358.46

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Solution

The fourth proportional to 73,242.58, 109,859.20 and 23,358.46 is: 35,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,242.58 : 109,859.20 = 23,358.46 : x
  2. Step 2: Convert to fraction form
    73,242.58/109,859.20 = 23,358.46/x
  3. Step 3: Cross multiply
    73,242.58x = 109,859.20 × 23,358.46
  4. Step 4: Simplify right side
    73,242.58x = 2,566,141,728.83
  5. Step 5: Solve for x
    x = 2,566,141,728.83/73,242.58
  6. Step 6: Final answer
    x = 35,036.20

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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.