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Finding the Fourth Proportional to 34,937.39, 52,406.54 and 9,977.42

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Solution

The fourth proportional to 34,937.39, 52,406.54 and 9,977.42 is: 14,966.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,937.39 : 52,406.54 = 9,977.42 : x
  2. Step 2: Convert to fraction form
    34,937.39/52,406.54 = 9,977.42/x
  3. Step 3: Cross multiply
    34,937.39x = 52,406.54 × 9,977.42
  4. Step 4: Simplify right side
    34,937.39x = 522,882,060.33
  5. Step 5: Solve for x
    x = 522,882,060.33/34,937.39
  6. Step 6: Final answer
    x = 14,966.26

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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.