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Finding the Fourth Proportional to 58,671.69, 80,971.54 and 49,546.77

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Solution

The fourth proportional to 58,671.69, 80,971.54 and 49,546.77 is: 68,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,671.69 : 80,971.54 = 49,546.77 : x
  2. Step 2: Convert to fraction form
    58,671.69/80,971.54 = 49,546.77/x
  3. Step 3: Cross multiply
    58,671.69x = 80,971.54 × 49,546.77
  4. Step 4: Simplify right side
    58,671.69x = 4,011,878,145.06
  5. Step 5: Solve for x
    x = 4,011,878,145.06/58,671.69
  6. Step 6: Final answer
    x = 68,378.43

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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.