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Finding the Fourth Proportional to 76,051.70, 104,952.24 and 42,062.97

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Solution

The fourth proportional to 76,051.70, 104,952.24 and 42,062.97 is: 58,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,051.70 : 104,952.24 = 42,062.97 : x
  2. Step 2: Convert to fraction form
    76,051.70/104,952.24 = 42,062.97/x
  3. Step 3: Cross multiply
    76,051.70x = 104,952.24 × 42,062.97
  4. Step 4: Simplify right side
    76,051.70x = 4,414,602,922.55
  5. Step 5: Solve for x
    x = 4,414,602,922.55/76,051.70
  6. Step 6: Final answer
    x = 58,047.40

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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.