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Finding the Fourth Proportional to 33,039.98, 49,522.52 and 16,411.58

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Solution

The fourth proportional to 33,039.98, 49,522.52 and 16,411.58 is: 24,598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,039.98 : 49,522.52 = 16,411.58 : x
  2. Step 2: Convert to fraction form
    33,039.98/49,522.52 = 16,411.58/x
  3. Step 3: Cross multiply
    33,039.98x = 49,522.52 × 16,411.58
  4. Step 4: Simplify right side
    33,039.98x = 812,742,798.78
  5. Step 5: Solve for x
    x = 812,742,798.78/33,039.98
  6. Step 6: Final answer
    x = 24,598.77

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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.