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Finding the Fourth Proportional to 76,104.11, 105,023.80 and 42,114.03

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Solution

The fourth proportional to 76,104.11, 105,023.80 and 42,114.03 is: 58,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,104.11 : 105,023.80 = 42,114.03 : x
  2. Step 2: Convert to fraction form
    76,104.11/105,023.80 = 42,114.03/x
  3. Step 3: Cross multiply
    76,104.11x = 105,023.80 × 42,114.03
  4. Step 4: Simplify right side
    76,104.11x = 4,422,975,463.91
  5. Step 5: Solve for x
    x = 4,422,975,463.91/76,104.11
  6. Step 6: Final answer
    x = 58,117.43

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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.