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Finding the Fourth Proportional to 37,565.36, 51,840.24 and 20,798

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Solution

The fourth proportional to 37,565.36, 51,840.24 and 20,798 is: 28,701.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,565.36 : 51,840.24 = 20,798 : x
  2. Step 2: Convert to fraction form
    37,565.36/51,840.24 = 20,798/x
  3. Step 3: Cross multiply
    37,565.36x = 51,840.24 × 20,798
  4. Step 4: Simplify right side
    37,565.36x = 1,078,173,311.52
  5. Step 5: Solve for x
    x = 1,078,173,311.52/37,565.36
  6. Step 6: Final answer
    x = 28,701.26

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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.