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Finding the Fourth Proportional to 55,714.80, 83,564.10 and 16,267.80

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Solution

The fourth proportional to 55,714.80, 83,564.10 and 16,267.80 is: 24,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,714.80 : 83,564.10 = 16,267.80 : x
  2. Step 2: Convert to fraction form
    55,714.80/83,564.10 = 16,267.80/x
  3. Step 3: Cross multiply
    55,714.80x = 83,564.10 × 16,267.80
  4. Step 4: Simplify right side
    55,714.80x = 1,359,404,065.98
  5. Step 5: Solve for x
    x = 1,359,404,065.98/55,714.80
  6. Step 6: Final answer
    x = 24,399.33

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1.5x scale

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.