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Finding the Fourth Proportional to 127,411, 191,108.94 and 38,665.24

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Solution

The fourth proportional to 127,411, 191,108.94 and 38,665.24 is: 57,995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,411 : 191,108.94 = 38,665.24 : x
  2. Step 2: Convert to fraction form
    127,411/191,108.94 = 38,665.24/x
  3. Step 3: Cross multiply
    127,411x = 191,108.94 × 38,665.24
  4. Step 4: Simplify right side
    127,411x = 7,389,273,031.25
  5. Step 5: Solve for x
    x = 7,389,273,031.25/127,411
  6. Step 6: Final answer
    x = 57,995.57

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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.