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Finding the Fourth Proportional to 32,788.88, 49,182.86 and 9,415.32

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Solution

The fourth proportional to 32,788.88, 49,182.86 and 9,415.32 is: 14,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,788.88 : 49,182.86 = 9,415.32 : x
  2. Step 2: Convert to fraction form
    32,788.88/49,182.86 = 9,415.32/x
  3. Step 3: Cross multiply
    32,788.88x = 49,182.86 × 9,415.32
  4. Step 4: Simplify right side
    32,788.88x = 463,072,365.42
  5. Step 5: Solve for x
    x = 463,072,365.42/32,788.88
  6. Step 6: Final answer
    x = 14,122.85

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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.