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Finding the Fourth Proportional to 92,108, 127,109.04 and 52,364

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Solution

The fourth proportional to 92,108, 127,109.04 and 52,364 is: 72,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,108 : 127,109.04 = 52,364 : x
  2. Step 2: Convert to fraction form
    92,108/127,109.04 = 52,364/x
  3. Step 3: Cross multiply
    92,108x = 127,109.04 × 52,364
  4. Step 4: Simplify right side
    92,108x = 6,655,937,770.56
  5. Step 5: Solve for x
    x = 6,655,937,770.56/92,108
  6. Step 6: Final answer
    x = 72,262.32

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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.