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Finding the Fourth Proportional to 52,608.83, 78,913.17 and 13,165.88

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Solution

The fourth proportional to 52,608.83, 78,913.17 and 13,165.88 is: 19,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,608.83 : 78,913.17 = 13,165.88 : x
  2. Step 2: Convert to fraction form
    52,608.83/78,913.17 = 13,165.88/x
  3. Step 3: Cross multiply
    52,608.83x = 78,913.17 × 13,165.88
  4. Step 4: Simplify right side
    52,608.83x = 1,038,960,932.07
  5. Step 5: Solve for x
    x = 1,038,960,932.07/52,608.83
  6. Step 6: Final answer
    x = 19,748.80

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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.