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Finding the Fourth Proportional to 37,881, 52,275.78 and 21,114

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Solution

The fourth proportional to 37,881, 52,275.78 and 21,114 is: 29,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,881 : 52,275.78 = 21,114 : x
  2. Step 2: Convert to fraction form
    37,881/52,275.78 = 21,114/x
  3. Step 3: Cross multiply
    37,881x = 52,275.78 × 21,114
  4. Step 4: Simplify right side
    37,881x = 1,103,750,818.92
  5. Step 5: Solve for x
    x = 1,103,750,818.92/37,881
  6. Step 6: Final answer
    x = 29,137.32

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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.