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Finding the Fourth Proportional to 20,935.80, 31,403.16 and 5,140.98

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Solution

The fourth proportional to 20,935.80, 31,403.16 and 5,140.98 is: 7,711.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,935.80 : 31,403.16 = 5,140.98 : x
  2. Step 2: Convert to fraction form
    20,935.80/31,403.16 = 5,140.98/x
  3. Step 3: Cross multiply
    20,935.80x = 31,403.16 × 5,140.98
  4. Step 4: Simplify right side
    20,935.80x = 161,443,017.50
  5. Step 5: Solve for x
    x = 161,443,017.50/20,935.80
  6. Step 6: Final answer
    x = 7,711.34

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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.