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Finding the Fourth Proportional to 71,058.12, 106,587.12 and 36,007.80

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Solution

The fourth proportional to 71,058.12, 106,587.12 and 36,007.80 is: 54,011.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,058.12 : 106,587.12 = 36,007.80 : x
  2. Step 2: Convert to fraction form
    71,058.12/106,587.12 = 36,007.80/x
  3. Step 3: Cross multiply
    71,058.12x = 106,587.12 × 36,007.80
  4. Step 4: Simplify right side
    71,058.12x = 3,837,967,699.54
  5. Step 5: Solve for x
    x = 3,837,967,699.54/71,058.12
  6. Step 6: Final answer
    x = 54,011.67

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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.