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Finding the Fourth Proportional to 51,979.92, 77,957.94 and 14,542.62

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Solution

The fourth proportional to 51,979.92, 77,957.94 and 14,542.62 is: 21,810.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,979.92 : 77,957.94 = 14,542.62 : x
  2. Step 2: Convert to fraction form
    51,979.92/77,957.94 = 14,542.62/x
  3. Step 3: Cross multiply
    51,979.92x = 77,957.94 × 14,542.62
  4. Step 4: Simplify right side
    51,979.92x = 1,133,712,697.40
  5. Step 5: Solve for x
    x = 1,133,712,697.40/51,979.92
  6. Step 6: Final answer
    x = 21,810.59

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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.