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Finding the Fourth Proportional to 33,025.59, 49,534.74 and 9,652.23

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Solution

The fourth proportional to 33,025.59, 49,534.74 and 9,652.23 is: 14,477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,025.59 : 49,534.74 = 9,652.23 : x
  2. Step 2: Convert to fraction form
    33,025.59/49,534.74 = 9,652.23/x
  3. Step 3: Cross multiply
    33,025.59x = 49,534.74 × 9,652.23
  4. Step 4: Simplify right side
    33,025.59x = 478,120,703.47
  5. Step 5: Solve for x
    x = 478,120,703.47/33,025.59
  6. Step 6: Final answer
    x = 14,477.28

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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.