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Finding the Fourth Proportional to 49,468, 74,206.32 and 12,532

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Solution

The fourth proportional to 49,468, 74,206.32 and 12,532 is: 18,799.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,468 : 74,206.32 = 12,532 : x
  2. Step 2: Convert to fraction form
    49,468/74,206.32 = 12,532/x
  3. Step 3: Cross multiply
    49,468x = 74,206.32 × 12,532
  4. Step 4: Simplify right side
    49,468x = 929,953,602.24
  5. Step 5: Solve for x
    x = 929,953,602.24/49,468
  6. Step 6: Final answer
    x = 18,799.09

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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.