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Finding the Fourth Proportional to 52,985, 79,477.68 and 16,049

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Solution

The fourth proportional to 52,985, 79,477.68 and 16,049 is: 24,073.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,985 : 79,477.68 = 16,049 : x
  2. Step 2: Convert to fraction form
    52,985/79,477.68 = 16,049/x
  3. Step 3: Cross multiply
    52,985x = 79,477.68 × 16,049
  4. Step 4: Simplify right side
    52,985x = 1,275,537,286.32
  5. Step 5: Solve for x
    x = 1,275,537,286.32/52,985
  6. Step 6: Final answer
    x = 24,073.55

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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.