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Finding the Fourth Proportional to 75,645.30, 113,467.95 and 42,467.70

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Solution

The fourth proportional to 75,645.30, 113,467.95 and 42,467.70 is: 63,701.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,645.30 : 113,467.95 = 42,467.70 : x
  2. Step 2: Convert to fraction form
    75,645.30/113,467.95 = 42,467.70/x
  3. Step 3: Cross multiply
    75,645.30x = 113,467.95 × 42,467.70
  4. Step 4: Simplify right side
    75,645.30x = 4,818,722,860.22
  5. Step 5: Solve for x
    x = 4,818,722,860.22/75,645.30
  6. Step 6: Final answer
    x = 63,701.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.