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Finding the Fourth Proportional to 92,509, 127,662.42 and 52,765

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Solution

The fourth proportional to 92,509, 127,662.42 and 52,765 is: 72,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,509 : 127,662.42 = 52,765 : x
  2. Step 2: Convert to fraction form
    92,509/127,662.42 = 52,765/x
  3. Step 3: Cross multiply
    92,509x = 127,662.42 × 52,765
  4. Step 4: Simplify right side
    92,509x = 6,736,107,591.30
  5. Step 5: Solve for x
    x = 6,736,107,591.30/92,509
  6. Step 6: Final answer
    x = 72,815.70

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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.