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Finding the Fourth Proportional to 92,238.40, 127,289.24 and 53,991

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Solution

The fourth proportional to 92,238.40, 127,289.24 and 53,991 is: 74,507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,238.40 : 127,289.24 = 53,991 : x
  2. Step 2: Convert to fraction form
    92,238.40/127,289.24 = 53,991/x
  3. Step 3: Cross multiply
    92,238.40x = 127,289.24 × 53,991
  4. Step 4: Simplify right side
    92,238.40x = 6,872,473,356.84
  5. Step 5: Solve for x
    x = 6,872,473,356.84/92,238.40
  6. Step 6: Final answer
    x = 74,507.73

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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.