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Finding the Fourth Proportional to 49,532, 74,309.52 and 16,700

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Solution

The fourth proportional to 49,532, 74,309.52 and 16,700 is: 25,053.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,532 : 74,309.52 = 16,700 : x
  2. Step 2: Convert to fraction form
    49,532/74,309.52 = 16,700/x
  3. Step 3: Cross multiply
    49,532x = 74,309.52 × 16,700
  4. Step 4: Simplify right side
    49,532x = 1,240,968,984
  5. Step 5: Solve for x
    x = 1,240,968,984/49,532
  6. Step 6: Final answer
    x = 25,053.88

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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.