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Finding the Fourth Proportional to 33,254.51, 49,877.72 and 9,882.77

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Solution

The fourth proportional to 33,254.51, 49,877.72 and 9,882.77 is: 14,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,254.51 : 49,877.72 = 9,882.77 : x
  2. Step 2: Convert to fraction form
    33,254.51/49,877.72 = 9,882.77/x
  3. Step 3: Cross multiply
    33,254.51x = 49,877.72 × 9,882.77
  4. Step 4: Simplify right side
    33,254.51x = 492,929,985.47
  5. Step 5: Solve for x
    x = 492,929,985.47/33,254.51
  6. Step 6: Final answer
    x = 14,822.95

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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.