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Finding the Fourth Proportional to 49,882.57, 74,824.49 and 16,602.64

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Solution

The fourth proportional to 49,882.57, 74,824.49 and 16,602.64 is: 24,904.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,882.57 : 74,824.49 = 16,602.64 : x
  2. Step 2: Convert to fraction form
    49,882.57/74,824.49 = 16,602.64/x
  3. Step 3: Cross multiply
    49,882.57x = 74,824.49 × 16,602.64
  4. Step 4: Simplify right side
    49,882.57x = 1,242,283,925.10
  5. Step 5: Solve for x
    x = 1,242,283,925.10/49,882.57
  6. Step 6: Final answer
    x = 24,904.17

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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.