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Finding the Fourth Proportional to 36,209.58, 49,966.65 and 20,291.46

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Solution

The fourth proportional to 36,209.58, 49,966.65 and 20,291.46 is: 28,000.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,209.58 : 49,966.65 = 20,291.46 : x
  2. Step 2: Convert to fraction form
    36,209.58/49,966.65 = 20,291.46/x
  3. Step 3: Cross multiply
    36,209.58x = 49,966.65 × 20,291.46
  4. Step 4: Simplify right side
    36,209.58x = 1,013,896,279.81
  5. Step 5: Solve for x
    x = 1,013,896,279.81/36,209.58
  6. Step 6: Final answer
    x = 28,000.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.