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Finding the Fourth Proportional to 76,876.63, 106,089.92 and 42,884.27

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Solution

The fourth proportional to 76,876.63, 106,089.92 and 42,884.27 is: 59,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,876.63 : 106,089.92 = 42,884.27 : x
  2. Step 2: Convert to fraction form
    76,876.63/106,089.92 = 42,884.27/x
  3. Step 3: Cross multiply
    76,876.63x = 106,089.92 × 42,884.27
  4. Step 4: Simplify right side
    76,876.63x = 4,549,588,587.34
  5. Step 5: Solve for x
    x = 4,549,588,587.34/76,876.63
  6. Step 6: Final answer
    x = 59,180.39

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Why These Related Problems?

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