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Finding the Fourth Proportional to 92,109, 127,110.42 and 52,365

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Solution

The fourth proportional to 92,109, 127,110.42 and 52,365 is: 72,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,109 : 127,110.42 = 52,365 : x
  2. Step 2: Convert to fraction form
    92,109/127,110.42 = 52,365/x
  3. Step 3: Cross multiply
    92,109x = 127,110.42 × 52,365
  4. Step 4: Simplify right side
    92,109x = 6,656,137,143.30
  5. Step 5: Solve for x
    x = 6,656,137,143.30/92,109
  6. Step 6: Final answer
    x = 72,263.70

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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.