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Finding the Fourth Proportional to 55,420.83, 76,486.14 and 32,767.16

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Solution

The fourth proportional to 55,420.83, 76,486.14 and 32,767.16 is: 45,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,420.83 : 76,486.14 = 32,767.16 : x
  2. Step 2: Convert to fraction form
    55,420.83/76,486.14 = 32,767.16/x
  3. Step 3: Cross multiply
    55,420.83x = 76,486.14 × 32,767.16
  4. Step 4: Simplify right side
    55,420.83x = 2,506,233,204.73
  5. Step 5: Solve for x
    x = 2,506,233,204.73/55,420.83
  6. Step 6: Final answer
    x = 45,221.86

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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.