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Finding the Fourth Proportional to 76,293, 105,285.61 and 42,302.91

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Solution

The fourth proportional to 76,293, 105,285.61 and 42,302.91 is: 58,378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,293 : 105,285.61 = 42,302.91 : x
  2. Step 2: Convert to fraction form
    76,293/105,285.61 = 42,302.91/x
  3. Step 3: Cross multiply
    76,293x = 105,285.61 × 42,302.91
  4. Step 4: Simplify right side
    76,293x = 4,453,888,131.82
  5. Step 5: Solve for x
    x = 4,453,888,131.82/76,293
  6. Step 6: Final answer
    x = 58,378.73

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