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Finding the Fourth Proportional to 55,882.40, 77,118.24 and 30,732

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Solution

The fourth proportional to 55,882.40, 77,118.24 and 30,732 is: 42,410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,882.40 : 77,118.24 = 30,732 : x
  2. Step 2: Convert to fraction form
    55,882.40/77,118.24 = 30,732/x
  3. Step 3: Cross multiply
    55,882.40x = 77,118.24 × 30,732
  4. Step 4: Simplify right side
    55,882.40x = 2,369,997,751.68
  5. Step 5: Solve for x
    x = 2,369,997,751.68/55,882.40
  6. Step 6: Final answer
    x = 42,410.45

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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.