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Finding the Fourth Proportional to 69,888, 96,447.60 and 40,080

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Solution

The fourth proportional to 69,888, 96,447.60 and 40,080 is: 55,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,888 : 96,447.60 = 40,080 : x
  2. Step 2: Convert to fraction form
    69,888/96,447.60 = 40,080/x
  3. Step 3: Cross multiply
    69,888x = 96,447.60 × 40,080
  4. Step 4: Simplify right side
    69,888x = 3,865,619,808
  5. Step 5: Solve for x
    x = 3,865,619,808/69,888
  6. Step 6: Final answer
    x = 55,311.64

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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.