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Finding the Fourth Proportional to 76,096.13, 105,017.51 and 42,562.13

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Solution

The fourth proportional to 76,096.13, 105,017.51 and 42,562.13 is: 58,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,096.13 : 105,017.51 = 42,562.13 : x
  2. Step 2: Convert to fraction form
    76,096.13/105,017.51 = 42,562.13/x
  3. Step 3: Cross multiply
    76,096.13x = 105,017.51 × 42,562.13
  4. Step 4: Simplify right side
    76,096.13x = 4,469,768,494.21
  5. Step 5: Solve for x
    x = 4,469,768,494.21/76,096.13
  6. Step 6: Final answer
    x = 58,738.45

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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.