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Finding the Fourth Proportional to 52,983, 79,474.68 and 16,047

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Solution

The fourth proportional to 52,983, 79,474.68 and 16,047 is: 24,070.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,983 : 79,474.68 = 16,047 : x
  2. Step 2: Convert to fraction form
    52,983/79,474.68 = 16,047/x
  3. Step 3: Cross multiply
    52,983x = 79,474.68 × 16,047
  4. Step 4: Simplify right side
    52,983x = 1,275,330,189.96
  5. Step 5: Solve for x
    x = 1,275,330,189.96/52,983
  6. Step 6: Final answer
    x = 24,070.55

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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.