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Finding the Fourth Proportional to 33,158.47, 49,739.07 and 9,784.91

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Solution

The fourth proportional to 33,158.47, 49,739.07 and 9,784.91 is: 14,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,158.47 : 49,739.07 = 9,784.91 : x
  2. Step 2: Convert to fraction form
    33,158.47/49,739.07 = 9,784.91/x
  3. Step 3: Cross multiply
    33,158.47x = 49,739.07 × 9,784.91
  4. Step 4: Simplify right side
    33,158.47x = 486,692,323.43
  5. Step 5: Solve for x
    x = 486,692,323.43/33,158.47
  6. Step 6: Final answer
    x = 14,677.77

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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.