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Finding the Fourth Proportional to 77,649.76, 116,494.08 and 25,058.08

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Solution

The fourth proportional to 77,649.76, 116,494.08 and 25,058.08 is: 37,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,649.76 : 116,494.08 = 25,058.08 : x
  2. Step 2: Convert to fraction form
    77,649.76/116,494.08 = 25,058.08/x
  3. Step 3: Cross multiply
    77,649.76x = 116,494.08 × 25,058.08
  4. Step 4: Simplify right side
    77,649.76x = 2,919,117,976.17
  5. Step 5: Solve for x
    x = 2,919,117,976.17/77,649.76
  6. Step 6: Final answer
    x = 37,593.39

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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.