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Finding the Fourth Proportional to 92,746, 127,989.48 and 53,002

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Solution

The fourth proportional to 92,746, 127,989.48 and 53,002 is: 73,142.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,746 : 127,989.48 = 53,002 : x
  2. Step 2: Convert to fraction form
    92,746/127,989.48 = 53,002/x
  3. Step 3: Cross multiply
    92,746x = 127,989.48 × 53,002
  4. Step 4: Simplify right side
    92,746x = 6,783,698,418.96
  5. Step 5: Solve for x
    x = 6,783,698,418.96/92,746
  6. Step 6: Final answer
    x = 73,142.76

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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.