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Finding the Fourth Proportional to 53,888.12, 74,360.60 and 31,228

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Solution

The fourth proportional to 53,888.12, 74,360.60 and 31,228 is: 43,091.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,888.12 : 74,360.60 = 31,228 : x
  2. Step 2: Convert to fraction form
    53,888.12/74,360.60 = 31,228/x
  3. Step 3: Cross multiply
    53,888.12x = 74,360.60 × 31,228
  4. Step 4: Simplify right side
    53,888.12x = 2,322,132,816.80
  5. Step 5: Solve for x
    x = 2,322,132,816.80/53,888.12
  6. Step 6: Final answer
    x = 43,091.74

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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.