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Finding the Fourth Proportional to 51,798.26, 77,695.56 and 16,737

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Solution

The fourth proportional to 51,798.26, 77,695.56 and 16,737 is: 25,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,798.26 : 77,695.56 = 16,737 : x
  2. Step 2: Convert to fraction form
    51,798.26/77,695.56 = 16,737/x
  3. Step 3: Cross multiply
    51,798.26x = 77,695.56 × 16,737
  4. Step 4: Simplify right side
    51,798.26x = 1,300,390,587.72
  5. Step 5: Solve for x
    x = 1,300,390,587.72/51,798.26
  6. Step 6: Final answer
    x = 25,104.91

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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.