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Finding the Fourth Proportional to 73,723.96, 110,607.54 and 23,803.12

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Solution

The fourth proportional to 73,723.96, 110,607.54 and 23,803.12 is: 35,711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,723.96 : 110,607.54 = 23,803.12 : x
  2. Step 2: Convert to fraction form
    73,723.96/110,607.54 = 23,803.12/x
  3. Step 3: Cross multiply
    73,723.96x = 110,607.54 × 23,803.12
  4. Step 4: Simplify right side
    73,723.96x = 2,632,804,547.52
  5. Step 5: Solve for x
    x = 2,632,804,547.52/73,723.96
  6. Step 6: Final answer
    x = 35,711.65

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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.