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Finding the Fourth Proportional to 62,695.62, 94,043.43 and 31,509

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Solution

The fourth proportional to 62,695.62, 94,043.43 and 31,509 is: 47,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,695.62 : 94,043.43 = 31,509 : x
  2. Step 2: Convert to fraction form
    62,695.62/94,043.43 = 31,509/x
  3. Step 3: Cross multiply
    62,695.62x = 94,043.43 × 31,509
  4. Step 4: Simplify right side
    62,695.62x = 2,963,214,435.87
  5. Step 5: Solve for x
    x = 2,963,214,435.87/62,695.62
  6. Step 6: Final answer
    x = 47,263.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.