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Finding the Fourth Proportional to 55,640.16, 76,784.04 and 30,489.84

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Solution

The fourth proportional to 55,640.16, 76,784.04 and 30,489.84 is: 42,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,640.16 : 76,784.04 = 30,489.84 : x
  2. Step 2: Convert to fraction form
    55,640.16/76,784.04 = 30,489.84/x
  3. Step 3: Cross multiply
    55,640.16x = 76,784.04 × 30,489.84
  4. Step 4: Simplify right side
    55,640.16x = 2,341,133,094.15
  5. Step 5: Solve for x
    x = 2,341,133,094.15/55,640.16
  6. Step 6: Final answer
    x = 42,076.32

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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.