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Finding the Fourth Proportional to 73,521, 110,244.24 and 31,394.52

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Solution

The fourth proportional to 73,521, 110,244.24 and 31,394.52 is: 47,075.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,521 : 110,244.24 = 31,394.52 : x
  2. Step 2: Convert to fraction form
    73,521/110,244.24 = 31,394.52/x
  3. Step 3: Cross multiply
    73,521x = 110,244.24 × 31,394.52
  4. Step 4: Simplify right side
    73,521x = 3,461,064,997.56
  5. Step 5: Solve for x
    x = 3,461,064,997.56/73,521
  6. Step 6: Final answer
    x = 47,075.87

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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.