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Finding the Fourth Proportional to 53,162.94, 79,760.00 and 15,724.00

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Solution

The fourth proportional to 53,162.94, 79,760.00 and 15,724.00 is: 23,590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,162.94 : 79,760.00 = 15,724.00 : x
  2. Step 2: Convert to fraction form
    53,162.94/79,760.00 = 15,724.00/x
  3. Step 3: Cross multiply
    53,162.94x = 79,760.00 × 15,724.00
  4. Step 4: Simplify right side
    53,162.94x = 1,254,146,079.91
  5. Step 5: Solve for x
    x = 1,254,146,079.91/53,162.94
  6. Step 6: Final answer
    x = 23,590.61

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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.