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Finding the Fourth Proportional to 55,023.96, 75,908.70 and 32,655

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Solution

The fourth proportional to 55,023.96, 75,908.70 and 32,655 is: 45,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,023.96 : 75,908.70 = 32,655 : x
  2. Step 2: Convert to fraction form
    55,023.96/75,908.70 = 32,655/x
  3. Step 3: Cross multiply
    55,023.96x = 75,908.70 × 32,655
  4. Step 4: Simplify right side
    55,023.96x = 2,478,798,598.50
  5. Step 5: Solve for x
    x = 2,478,798,598.50/55,023.96
  6. Step 6: Final answer
    x = 45,049.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.