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Finding the Fourth Proportional to 53,133.98, 79,714.02 and 15,693.85

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Solution

The fourth proportional to 53,133.98, 79,714.02 and 15,693.85 is: 23,544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,133.98 : 79,714.02 = 15,693.85 : x
  2. Step 2: Convert to fraction form
    53,133.98/79,714.02 = 15,693.85/x
  3. Step 3: Cross multiply
    53,133.98x = 79,714.02 × 15,693.85
  4. Step 4: Simplify right side
    53,133.98x = 1,251,020,031.27
  5. Step 5: Solve for x
    x = 1,251,020,031.27/53,133.98
  6. Step 6: Final answer
    x = 23,544.63

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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.