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Finding the Fourth Proportional to 31,200.84, 46,800.86 and 20,178.36

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Solution

The fourth proportional to 31,200.84, 46,800.86 and 20,178.36 is: 30,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200.84 : 46,800.86 = 20,178.36 : x
  2. Step 2: Convert to fraction form
    31,200.84/46,800.86 = 20,178.36/x
  3. Step 3: Cross multiply
    31,200.84x = 46,800.86 × 20,178.36
  4. Step 4: Simplify right side
    31,200.84x = 944,364,500.50
  5. Step 5: Solve for x
    x = 944,364,500.50/31,200.84
  6. Step 6: Final answer
    x = 30,267.28

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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.