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Finding the Fourth Proportional to 67,826.70, 93,578.40 and 40,959

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Solution

The fourth proportional to 67,826.70, 93,578.40 and 40,959 is: 56,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,826.70 : 93,578.40 = 40,959 : x
  2. Step 2: Convert to fraction form
    67,826.70/93,578.40 = 40,959/x
  3. Step 3: Cross multiply
    67,826.70x = 93,578.40 × 40,959
  4. Step 4: Simplify right side
    67,826.70x = 3,832,877,685.60
  5. Step 5: Solve for x
    x = 3,832,877,685.60/67,826.70
  6. Step 6: Final answer
    x = 56,509.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.