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Finding the Fourth Proportional to 48,235.60, 66,561.48 and 27,010

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Solution

The fourth proportional to 48,235.60, 66,561.48 and 27,010 is: 37,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,235.60 : 66,561.48 = 27,010 : x
  2. Step 2: Convert to fraction form
    48,235.60/66,561.48 = 27,010/x
  3. Step 3: Cross multiply
    48,235.60x = 66,561.48 × 27,010
  4. Step 4: Simplify right side
    48,235.60x = 1,797,825,574.80
  5. Step 5: Solve for x
    x = 1,797,825,574.80/48,235.60
  6. Step 6: Final answer
    x = 37,271.76

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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.