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Finding the Fourth Proportional to 38,204.76, 52,723.14 and 23,094.72

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Solution

The fourth proportional to 38,204.76, 52,723.14 and 23,094.72 is: 31,871.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,204.76 : 52,723.14 = 23,094.72 : x
  2. Step 2: Convert to fraction form
    38,204.76/52,723.14 = 23,094.72/x
  3. Step 3: Cross multiply
    38,204.76x = 52,723.14 × 23,094.72
  4. Step 4: Simplify right side
    38,204.76x = 1,217,626,155.82
  5. Step 5: Solve for x
    x = 1,217,626,155.82/38,204.76
  6. Step 6: Final answer
    x = 31,871.06

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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.