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Finding the Fourth Proportional to 37,884, 52,280.16 and 21,117.12

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Solution

The fourth proportional to 37,884, 52,280.16 and 21,117.12 is: 29,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,884 : 52,280.16 = 21,117.12 : x
  2. Step 2: Convert to fraction form
    37,884/52,280.16 = 21,117.12/x
  3. Step 3: Cross multiply
    37,884x = 52,280.16 × 21,117.12
  4. Step 4: Simplify right side
    37,884x = 1,104,006,412.34
  5. Step 5: Solve for x
    x = 1,104,006,412.34/37,884
  6. Step 6: Final answer
    x = 29,141.76

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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.