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Finding the Fourth Proportional to 75,023, 112,535.58 and 19,619

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Solution

The fourth proportional to 75,023, 112,535.58 and 19,619 is: 29,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,023 : 112,535.58 = 19,619 : x
  2. Step 2: Convert to fraction form
    75,023/112,535.58 = 19,619/x
  3. Step 3: Cross multiply
    75,023x = 112,535.58 × 19,619
  4. Step 4: Simplify right side
    75,023x = 2,207,835,544.02
  5. Step 5: Solve for x
    x = 2,207,835,544.02/75,023
  6. Step 6: Final answer
    x = 29,428.78

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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.