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Finding the Fourth Proportional to 32,785.90, 49,178.88 and 14,053.84

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Solution

The fourth proportional to 32,785.90, 49,178.88 and 14,053.84 is: 21,080.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,785.90 : 49,178.88 = 14,053.84 : x
  2. Step 2: Convert to fraction form
    32,785.90/49,178.88 = 14,053.84/x
  3. Step 3: Cross multiply
    32,785.90x = 49,178.88 × 14,053.84
  4. Step 4: Simplify right side
    32,785.90x = 691,151,987.95
  5. Step 5: Solve for x
    x = 691,151,987.95/32,785.90
  6. Step 6: Final answer
    x = 21,080.77

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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.