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Finding the Fourth Proportional to 49,643.96, 74,474.10 and 16,366.01

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Solution

The fourth proportional to 49,643.96, 74,474.10 and 16,366.01 is: 24,551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,643.96 : 74,474.10 = 16,366.01 : x
  2. Step 2: Convert to fraction form
    49,643.96/74,474.10 = 16,366.01/x
  3. Step 3: Cross multiply
    49,643.96x = 74,474.10 × 16,366.01
  4. Step 4: Simplify right side
    49,643.96x = 1,218,843,492.97
  5. Step 5: Solve for x
    x = 1,218,843,492.97/49,643.96
  6. Step 6: Final answer
    x = 24,551.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.