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Finding the Fourth Proportional to 75,340.53, 113,008.01 and 22,748.63

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Solution

The fourth proportional to 75,340.53, 113,008.01 and 22,748.63 is: 34,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,340.53 : 113,008.01 = 22,748.63 : x
  2. Step 2: Convert to fraction form
    75,340.53/113,008.01 = 22,748.63/x
  3. Step 3: Cross multiply
    75,340.53x = 113,008.01 × 22,748.63
  4. Step 4: Simplify right side
    75,340.53x = 2,570,776,727.74
  5. Step 5: Solve for x
    x = 2,570,776,727.74/75,340.53
  6. Step 6: Final answer
    x = 34,122.10

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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.