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Finding the Fourth Proportional to 51,049.48, 70,442.14 and 28,382.78

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Solution

The fourth proportional to 51,049.48, 70,442.14 and 28,382.78 is: 39,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,049.48 : 70,442.14 = 28,382.78 : x
  2. Step 2: Convert to fraction form
    51,049.48/70,442.14 = 28,382.78/x
  3. Step 3: Cross multiply
    51,049.48x = 70,442.14 × 28,382.78
  4. Step 4: Simplify right side
    51,049.48x = 1,999,343,762.35
  5. Step 5: Solve for x
    x = 1,999,343,762.35/51,049.48
  6. Step 6: Final answer
    x = 39,164.82

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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.