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Finding the Fourth Proportional to 40,194.12, 60,282.54 and 25,194

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Solution

The fourth proportional to 40,194.12, 60,282.54 and 25,194 is: 37,785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,194.12 : 60,282.54 = 25,194 : x
  2. Step 2: Convert to fraction form
    40,194.12/60,282.54 = 25,194/x
  3. Step 3: Cross multiply
    40,194.12x = 60,282.54 × 25,194
  4. Step 4: Simplify right side
    40,194.12x = 1,518,758,312.76
  5. Step 5: Solve for x
    x = 1,518,758,312.76/40,194.12
  6. Step 6: Final answer
    x = 37,785.58

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