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Finding the Fourth Proportional to 33,026.59, 49,536.24 and 9,653.23

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Solution

The fourth proportional to 33,026.59, 49,536.24 and 9,653.23 is: 14,478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,026.59 : 49,536.24 = 9,653.23 : x
  2. Step 2: Convert to fraction form
    33,026.59/49,536.24 = 9,653.23/x
  3. Step 3: Cross multiply
    33,026.59x = 49,536.24 × 9,653.23
  4. Step 4: Simplify right side
    33,026.59x = 478,184,718.06
  5. Step 5: Solve for x
    x = 478,184,718.06/33,026.59
  6. Step 6: Final answer
    x = 14,478.78

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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.