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Finding the Fourth Proportional to 76,357.38, 105,373.76 and 41,901.88

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Solution

The fourth proportional to 76,357.38, 105,373.76 and 41,901.88 is: 57,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,357.38 : 105,373.76 = 41,901.88 : x
  2. Step 2: Convert to fraction form
    76,357.38/105,373.76 = 41,901.88/x
  3. Step 3: Cross multiply
    76,357.38x = 105,373.76 × 41,901.88
  4. Step 4: Simplify right side
    76,357.38x = 4,415,358,646.67
  5. Step 5: Solve for x
    x = 4,415,358,646.67/76,357.38
  6. Step 6: Final answer
    x = 57,824.91

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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.