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Finding the Fourth Proportional to 76,292.52, 105,288.99 and 42,304.15

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Solution

The fourth proportional to 76,292.52, 105,288.99 and 42,304.15 is: 58,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,292.52 : 105,288.99 = 42,304.15 : x
  2. Step 2: Convert to fraction form
    76,292.52/105,288.99 = 42,304.15/x
  3. Step 3: Cross multiply
    76,292.52x = 105,288.99 × 42,304.15
  4. Step 4: Simplify right side
    76,292.52x = 4,454,161,226.31
  5. Step 5: Solve for x
    x = 4,454,161,226.31/76,292.52
  6. Step 6: Final answer
    x = 58,382.67

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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.