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Finding the Fourth Proportional to 49,539, 74,308.50 and 16,707

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Solution

The fourth proportional to 49,539, 74,308.50 and 16,707 is: 25,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,539 : 74,308.50 = 16,707 : x
  2. Step 2: Convert to fraction form
    49,539/74,308.50 = 16,707/x
  3. Step 3: Cross multiply
    49,539x = 74,308.50 × 16,707
  4. Step 4: Simplify right side
    49,539x = 1,241,472,109.50
  5. Step 5: Solve for x
    x = 1,241,472,109.50/49,539
  6. Step 6: Final answer
    x = 25,060.50

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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.