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Finding the Fourth Proportional to 49,507, 68,319.66 and 27,151

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Solution

The fourth proportional to 49,507, 68,319.66 and 27,151 is: 37,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,507 : 68,319.66 = 27,151 : x
  2. Step 2: Convert to fraction form
    49,507/68,319.66 = 27,151/x
  3. Step 3: Cross multiply
    49,507x = 68,319.66 × 27,151
  4. Step 4: Simplify right side
    49,507x = 1,854,947,088.66
  5. Step 5: Solve for x
    x = 1,854,947,088.66/49,507
  6. Step 6: Final answer
    x = 37,468.38

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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.