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Finding the Fourth Proportional to 52,967.64, 79,442.82 and 16,023

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Solution

The fourth proportional to 52,967.64, 79,442.82 and 16,023 is: 24,031.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,967.64 : 79,442.82 = 16,023 : x
  2. Step 2: Convert to fraction form
    52,967.64/79,442.82 = 16,023/x
  3. Step 3: Cross multiply
    52,967.64x = 79,442.82 × 16,023
  4. Step 4: Simplify right side
    52,967.64x = 1,272,912,304.86
  5. Step 5: Solve for x
    x = 1,272,912,304.86/52,967.64
  6. Step 6: Final answer
    x = 24,031.89

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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.