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Finding the Fourth Proportional to 75,290.80, 112,946.94 and 24,679

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Solution

The fourth proportional to 75,290.80, 112,946.94 and 24,679 is: 37,022.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,290.80 : 112,946.94 = 24,679 : x
  2. Step 2: Convert to fraction form
    75,290.80/112,946.94 = 24,679/x
  3. Step 3: Cross multiply
    75,290.80x = 112,946.94 × 24,679
  4. Step 4: Simplify right side
    75,290.80x = 2,787,417,532.26
  5. Step 5: Solve for x
    x = 2,787,417,532.26/75,290.80
  6. Step 6: Final answer
    x = 37,022.02

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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.