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Finding the Fourth Proportional to 77,637.44, 116,460.48 and 22,232

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Solution

The fourth proportional to 77,637.44, 116,460.48 and 22,232 is: 33,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,637.44 : 116,460.48 = 22,232 : x
  2. Step 2: Convert to fraction form
    77,637.44/116,460.48 = 22,232/x
  3. Step 3: Cross multiply
    77,637.44x = 116,460.48 × 22,232
  4. Step 4: Simplify right side
    77,637.44x = 2,589,149,391.36
  5. Step 5: Solve for x
    x = 2,589,149,391.36/77,637.44
  6. Step 6: Final answer
    x = 33,349.24

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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.