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Finding the Fourth Proportional to 30,539.70, 45,727.44 and 19,386

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Solution

The fourth proportional to 30,539.70, 45,727.44 and 19,386 is: 29,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,539.70 : 45,727.44 = 19,386 : x
  2. Step 2: Convert to fraction form
    30,539.70/45,727.44 = 19,386/x
  3. Step 3: Cross multiply
    30,539.70x = 45,727.44 × 19,386
  4. Step 4: Simplify right side
    30,539.70x = 886,472,151.84
  5. Step 5: Solve for x
    x = 886,472,151.84/30,539.70
  6. Step 6: Final answer
    x = 29,026.88

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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.