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Finding the Fourth Proportional to 37,715, 52,048.34 and 20,948

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Solution

The fourth proportional to 37,715, 52,048.34 and 20,948 is: 28,909.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,715 : 52,048.34 = 20,948 : x
  2. Step 2: Convert to fraction form
    37,715/52,048.34 = 20,948/x
  3. Step 3: Cross multiply
    37,715x = 52,048.34 × 20,948
  4. Step 4: Simplify right side
    37,715x = 1,090,308,626.32
  5. Step 5: Solve for x
    x = 1,090,308,626.32/37,715
  6. Step 6: Final answer
    x = 28,909.15

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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.