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Finding the Fourth Proportional to 49,588.32, 74,378.88 and 16,308

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Solution

The fourth proportional to 49,588.32, 74,378.88 and 16,308 is: 24,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,588.32 : 74,378.88 = 16,308 : x
  2. Step 2: Convert to fraction form
    49,588.32/74,378.88 = 16,308/x
  3. Step 3: Cross multiply
    49,588.32x = 74,378.88 × 16,308
  4. Step 4: Simplify right side
    49,588.32x = 1,212,970,775.04
  5. Step 5: Solve for x
    x = 1,212,970,775.04/49,588.32
  6. Step 6: Final answer
    x = 24,460.82

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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.