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Finding the Fourth Proportional to 49,599.16, 74,391.64 and 16,320.56

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Solution

The fourth proportional to 49,599.16, 74,391.64 and 16,320.56 is: 24,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,599.16 : 74,391.64 = 16,320.56 : x
  2. Step 2: Convert to fraction form
    49,599.16/74,391.64 = 16,320.56/x
  3. Step 3: Cross multiply
    49,599.16x = 74,391.64 × 16,320.56
  4. Step 4: Simplify right side
    49,599.16x = 1,214,113,224.12
  5. Step 5: Solve for x
    x = 1,214,113,224.12/49,599.16
  6. Step 6: Final answer
    x = 24,478.50

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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.