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Finding the Fourth Proportional to 37,684.32, 52,001.76 and 20,916

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Solution

The fourth proportional to 37,684.32, 52,001.76 and 20,916 is: 28,862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,684.32 : 52,001.76 = 20,916 : x
  2. Step 2: Convert to fraction form
    37,684.32/52,001.76 = 20,916/x
  3. Step 3: Cross multiply
    37,684.32x = 52,001.76 × 20,916
  4. Step 4: Simplify right side
    37,684.32x = 1,087,668,812.16
  5. Step 5: Solve for x
    x = 1,087,668,812.16/37,684.32
  6. Step 6: Final answer
    x = 28,862.64

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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.