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Finding the Fourth Proportional to 37,695.12, 52,019.16 and 20,928

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Solution

The fourth proportional to 37,695.12, 52,019.16 and 20,928 is: 28,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,695.12 : 52,019.16 = 20,928 : x
  2. Step 2: Convert to fraction form
    37,695.12/52,019.16 = 20,928/x
  3. Step 3: Cross multiply
    37,695.12x = 52,019.16 × 20,928
  4. Step 4: Simplify right side
    37,695.12x = 1,088,656,980.48
  5. Step 5: Solve for x
    x = 1,088,656,980.48/37,695.12
  6. Step 6: Final answer
    x = 28,880.58

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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.