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Finding the Fourth Proportional to 76,284.65, 105,279.03 and 42,303.78

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Solution

The fourth proportional to 76,284.65, 105,279.03 and 42,303.78 is: 58,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,284.65 : 105,279.03 = 42,303.78 : x
  2. Step 2: Convert to fraction form
    76,284.65/105,279.03 = 42,303.78/x
  3. Step 3: Cross multiply
    76,284.65x = 105,279.03 × 42,303.78
  4. Step 4: Simplify right side
    76,284.65x = 4,453,700,923.73
  5. Step 5: Solve for x
    x = 4,453,700,923.73/76,284.65
  6. Step 6: Final answer
    x = 58,382.66

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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.