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Finding the Fourth Proportional to 55,422.60, 83,186.10 and 29,146.20

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Solution

The fourth proportional to 55,422.60, 83,186.10 and 29,146.20 is: 43,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,422.60 : 83,186.10 = 29,146.20 : x
  2. Step 2: Convert to fraction form
    55,422.60/83,186.10 = 29,146.20/x
  3. Step 3: Cross multiply
    55,422.60x = 83,186.10 × 29,146.20
  4. Step 4: Simplify right side
    55,422.60x = 2,424,558,707.82
  5. Step 5: Solve for x
    x = 2,424,558,707.82/55,422.60
  6. Step 6: Final answer
    x = 43,746.75

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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.