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Finding the Fourth Proportional to 92,505.68, 127,646.28 and 52,214.48

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Solution

The fourth proportional to 92,505.68, 127,646.28 and 52,214.48 is: 72,049.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,505.68 : 127,646.28 = 52,214.48 : x
  2. Step 2: Convert to fraction form
    92,505.68/127,646.28 = 52,214.48/x
  3. Step 3: Cross multiply
    92,505.68x = 127,646.28 × 52,214.48
  4. Step 4: Simplify right side
    92,505.68x = 6,664,984,134.13
  5. Step 5: Solve for x
    x = 6,664,984,134.13/92,505.68
  6. Step 6: Final answer
    x = 72,049.46

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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.