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Finding the Fourth Proportional to 55,892.64, 77,142.80 and 32,035.30

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Solution

The fourth proportional to 55,892.64, 77,142.80 and 32,035.30 is: 44,214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,892.64 : 77,142.80 = 32,035.30 : x
  2. Step 2: Convert to fraction form
    55,892.64/77,142.80 = 32,035.30/x
  3. Step 3: Cross multiply
    55,892.64x = 77,142.80 × 32,035.30
  4. Step 4: Simplify right side
    55,892.64x = 2,471,292,740.84
  5. Step 5: Solve for x
    x = 2,471,292,740.84/55,892.64
  6. Step 6: Final answer
    x = 44,214.99

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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.