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Finding the Fourth Proportional to 55,413, 76,465.62 and 32,747.68

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Solution

The fourth proportional to 55,413, 76,465.62 and 32,747.68 is: 45,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,413 : 76,465.62 = 32,747.68 : x
  2. Step 2: Convert to fraction form
    55,413/76,465.62 = 32,747.68/x
  3. Step 3: Cross multiply
    55,413x = 76,465.62 × 32,747.68
  4. Step 4: Simplify right side
    55,413x = 2,504,071,654.76
  5. Step 5: Solve for x
    x = 2,504,071,654.76/55,413
  6. Step 6: Final answer
    x = 45,189.25

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