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Finding the Fourth Proportional to 30,282.95, 45,424.70 and 10,561.48

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Solution

The fourth proportional to 30,282.95, 45,424.70 and 10,561.48 is: 15,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,282.95 : 45,424.70 = 10,561.48 : x
  2. Step 2: Convert to fraction form
    30,282.95/45,424.70 = 10,561.48/x
  3. Step 3: Cross multiply
    30,282.95x = 45,424.70 × 10,561.48
  4. Step 4: Simplify right side
    30,282.95x = 479,752,060.56
  5. Step 5: Solve for x
    x = 479,752,060.56/30,282.95
  6. Step 6: Final answer
    x = 15,842.32

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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.