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Finding the Fourth Proportional to 55,970.89, 77,212.29 and 41,584.89

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Solution

The fourth proportional to 55,970.89, 77,212.29 and 41,584.89 is: 57,366.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,970.89 : 77,212.29 = 41,584.89 : x
  2. Step 2: Convert to fraction form
    55,970.89/77,212.29 = 41,584.89/x
  3. Step 3: Cross multiply
    55,970.89x = 77,212.29 × 41,584.89
  4. Step 4: Simplify right side
    55,970.89x = 3,210,864,586.30
  5. Step 5: Solve for x
    x = 3,210,864,586.30/55,970.89
  6. Step 6: Final answer
    x = 57,366.69

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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.