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Finding the Fourth Proportional to 127,566.94, 191,377.95 and 38,827.39

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Solution

The fourth proportional to 127,566.94, 191,377.95 and 38,827.39 is: 58,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,566.94 : 191,377.95 = 38,827.39 : x
  2. Step 2: Convert to fraction form
    127,566.94/191,377.95 = 38,827.39/x
  3. Step 3: Cross multiply
    127,566.94x = 191,377.95 × 38,827.39
  4. Step 4: Simplify right side
    127,566.94x = 7,430,706,302.05
  5. Step 5: Solve for x
    x = 7,430,706,302.05/127,566.94
  6. Step 6: Final answer
    x = 58,249.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.