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Finding the Fourth Proportional to 55,731.44, 83,597.16 and 28,010

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Solution

The fourth proportional to 55,731.44, 83,597.16 and 28,010 is: 42,015

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,731.44 : 83,597.16 = 28,010 : x
  2. Step 2: Convert to fraction form
    55,731.44/83,597.16 = 28,010/x
  3. Step 3: Cross multiply
    55,731.44x = 83,597.16 × 28,010
  4. Step 4: Simplify right side
    55,731.44x = 2,341,556,451.60
  5. Step 5: Solve for x
    x = 2,341,556,451.60/55,731.44
  6. Step 6: Final answer
    x = 42,015

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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.