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Finding the Fourth Proportional to 71,835, 107,769.78 and 22,587

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Solution

The fourth proportional to 71,835, 107,769.78 and 22,587 is: 33,885.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,835 : 107,769.78 = 22,587 : x
  2. Step 2: Convert to fraction form
    71,835/107,769.78 = 22,587/x
  3. Step 3: Cross multiply
    71,835x = 107,769.78 × 22,587
  4. Step 4: Simplify right side
    71,835x = 2,434,196,020.86
  5. Step 5: Solve for x
    x = 2,434,196,020.86/71,835
  6. Step 6: Final answer
    x = 33,885.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.