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Finding the Fourth Proportional to 33,029.60, 49,544.39 and 9,656.03

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Solution

The fourth proportional to 33,029.60, 49,544.39 and 9,656.03 is: 14,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,029.60 : 49,544.39 = 9,656.03 : x
  2. Step 2: Convert to fraction form
    33,029.60/49,544.39 = 9,656.03/x
  3. Step 3: Cross multiply
    33,029.60x = 49,544.39 × 9,656.03
  4. Step 4: Simplify right side
    33,029.60x = 478,402,264.17
  5. Step 5: Solve for x
    x = 478,402,264.17/33,029.60
  6. Step 6: Final answer
    x = 14,484.05

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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.