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Finding the Fourth Proportional to 73,161.90, 109,731.60 and 23,235.48

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Solution

The fourth proportional to 73,161.90, 109,731.60 and 23,235.48 is: 34,849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,161.90 : 109,731.60 = 23,235.48 : x
  2. Step 2: Convert to fraction form
    73,161.90/109,731.60 = 23,235.48/x
  3. Step 3: Cross multiply
    73,161.90x = 109,731.60 × 23,235.48
  4. Step 4: Simplify right side
    73,161.90x = 2,549,666,397.17
  5. Step 5: Solve for x
    x = 2,549,666,397.17/73,161.90
  6. Step 6: Final answer
    x = 34,849.65

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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.