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Finding the Fourth Proportional to 76,284.70, 105,279.12 and 42,303.85

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Solution

The fourth proportional to 76,284.70, 105,279.12 and 42,303.85 is: 58,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,284.70 : 105,279.12 = 42,303.85 : x
  2. Step 2: Convert to fraction form
    76,284.70/105,279.12 = 42,303.85/x
  3. Step 3: Cross multiply
    76,284.70x = 105,279.12 × 42,303.85
  4. Step 4: Simplify right side
    76,284.70x = 4,453,712,100.61
  5. Step 5: Solve for x
    x = 4,453,712,100.61/76,284.70
  6. Step 6: Final answer
    x = 58,382.77

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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.