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Finding the Fourth Proportional to 40,706.68, 56,202.62 and 25,416.50

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Solution

The fourth proportional to 40,706.68, 56,202.62 and 25,416.50 is: 35,091.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,706.68 : 56,202.62 = 25,416.50 : x
  2. Step 2: Convert to fraction form
    40,706.68/56,202.62 = 25,416.50/x
  3. Step 3: Cross multiply
    40,706.68x = 56,202.62 × 25,416.50
  4. Step 4: Simplify right side
    40,706.68x = 1,428,474,095.28
  5. Step 5: Solve for x
    x = 1,428,474,095.28/40,706.68
  6. Step 6: Final answer
    x = 35,091.89

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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.