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Finding the Fourth Proportional to 33,689.76, 50,534.40 and 16,106.40

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Solution

The fourth proportional to 33,689.76, 50,534.40 and 16,106.40 is: 24,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,689.76 : 50,534.40 = 16,106.40 : x
  2. Step 2: Convert to fraction form
    33,689.76/50,534.40 = 16,106.40/x
  3. Step 3: Cross multiply
    33,689.76x = 50,534.40 × 16,106.40
  4. Step 4: Simplify right side
    33,689.76x = 813,927,260.16
  5. Step 5: Solve for x
    x = 813,927,260.16/33,689.76
  6. Step 6: Final answer
    x = 24,159.49

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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.