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Finding the Fourth Proportional to 95,101.54, 142,676 and 28,542.89

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Solution

The fourth proportional to 95,101.54, 142,676 and 28,542.89 is: 42,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,101.54 : 142,676 = 28,542.89 : x
  2. Step 2: Convert to fraction form
    95,101.54/142,676 = 28,542.89/x
  3. Step 3: Cross multiply
    95,101.54x = 142,676 × 28,542.89
  4. Step 4: Simplify right side
    95,101.54x = 4,072,385,373.64
  5. Step 5: Solve for x
    x = 4,072,385,373.64/95,101.54
  6. Step 6: Final answer
    x = 42,821.45

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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.