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Finding the Fourth Proportional to 76,487.70, 105,555.38 and 46,278.57

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Solution

The fourth proportional to 76,487.70, 105,555.38 and 46,278.57 is: 63,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,487.70 : 105,555.38 = 46,278.57 : x
  2. Step 2: Convert to fraction form
    76,487.70/105,555.38 = 46,278.57/x
  3. Step 3: Cross multiply
    76,487.70x = 105,555.38 × 46,278.57
  4. Step 4: Simplify right side
    76,487.70x = 4,884,951,810.81
  5. Step 5: Solve for x
    x = 4,884,951,810.81/76,487.70
  6. Step 6: Final answer
    x = 63,865.85

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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.