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Finding the Fourth Proportional to 38,365.69, 52,947.31 and 23,258.98

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Solution

The fourth proportional to 38,365.69, 52,947.31 and 23,258.98 is: 32,099.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,365.69 : 52,947.31 = 23,258.98 : x
  2. Step 2: Convert to fraction form
    38,365.69/52,947.31 = 23,258.98/x
  3. Step 3: Cross multiply
    38,365.69x = 52,947.31 × 23,258.98
  4. Step 4: Simplify right side
    38,365.69x = 1,231,500,424.34
  5. Step 5: Solve for x
    x = 1,231,500,424.34/38,365.69
  6. Step 6: Final answer
    x = 32,099.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.