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Finding the Fourth Proportional to 53,758.56, 74,196 and 34,632.96

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Solution

The fourth proportional to 53,758.56, 74,196 and 34,632.96 is: 47,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,758.56 : 74,196 = 34,632.96 : x
  2. Step 2: Convert to fraction form
    53,758.56/74,196 = 34,632.96/x
  3. Step 3: Cross multiply
    53,758.56x = 74,196 × 34,632.96
  4. Step 4: Simplify right side
    53,758.56x = 2,569,627,100.16
  5. Step 5: Solve for x
    x = 2,569,627,100.16/53,758.56
  6. Step 6: Final answer
    x = 47,799.40

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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.