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Finding the Fourth Proportional to 77,858.56, 116,788.80 and 25,268.16

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Solution

The fourth proportional to 77,858.56, 116,788.80 and 25,268.16 is: 37,902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,858.56 : 116,788.80 = 25,268.16 : x
  2. Step 2: Convert to fraction form
    77,858.56/116,788.80 = 25,268.16/x
  3. Step 3: Cross multiply
    77,858.56x = 116,788.80 × 25,268.16
  4. Step 4: Simplify right side
    77,858.56x = 2,951,038,084.61
  5. Step 5: Solve for x
    x = 2,951,038,084.61/77,858.56
  6. Step 6: Final answer
    x = 37,902.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.