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Finding the Fourth Proportional to 58,772.49, 81,106.03 and 31,915

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Solution

The fourth proportional to 58,772.49, 81,106.03 and 31,915 is: 44,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,772.49 : 81,106.03 = 31,915 : x
  2. Step 2: Convert to fraction form
    58,772.49/81,106.03 = 31,915/x
  3. Step 3: Cross multiply
    58,772.49x = 81,106.03 × 31,915
  4. Step 4: Simplify right side
    58,772.49x = 2,588,498,947.45
  5. Step 5: Solve for x
    x = 2,588,498,947.45/58,772.49
  6. Step 6: Final answer
    x = 44,042.70

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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.