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Finding the Fourth Proportional to 76,476.87, 105,545.21 and 46,269.61

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Solution

The fourth proportional to 76,476.87, 105,545.21 and 46,269.61 is: 63,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,476.87 : 105,545.21 = 46,269.61 : x
  2. Step 2: Convert to fraction form
    76,476.87/105,545.21 = 46,269.61/x
  3. Step 3: Cross multiply
    76,476.87x = 105,545.21 × 46,269.61
  4. Step 4: Simplify right side
    76,476.87x = 4,883,535,704.07
  5. Step 5: Solve for x
    x = 4,883,535,704.07/76,476.87
  6. Step 6: Final answer
    x = 63,856.38

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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.