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Finding the Fourth Proportional to 45,140.68, 67,574.94 and 24,301

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Solution

The fourth proportional to 45,140.68, 67,574.94 and 24,301 is: 36,378.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,140.68 : 67,574.94 = 24,301 : x
  2. Step 2: Convert to fraction form
    45,140.68/67,574.94 = 24,301/x
  3. Step 3: Cross multiply
    45,140.68x = 67,574.94 × 24,301
  4. Step 4: Simplify right side
    45,140.68x = 1,642,138,616.94
  5. Step 5: Solve for x
    x = 1,642,138,616.94/45,140.68
  6. Step 6: Final answer
    x = 36,378.24

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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.