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Finding the Fourth Proportional to 55,178.16, 82,702.42 and 25,533.38

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Solution

The fourth proportional to 55,178.16, 82,702.42 and 25,533.38 is: 38,270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,178.16 : 82,702.42 = 25,533.38 : x
  2. Step 2: Convert to fraction form
    55,178.16/82,702.42 = 25,533.38/x
  3. Step 3: Cross multiply
    55,178.16x = 82,702.42 × 25,533.38
  4. Step 4: Simplify right side
    55,178.16x = 2,111,672,316.78
  5. Step 5: Solve for x
    x = 2,111,672,316.78/55,178.16
  6. Step 6: Final answer
    x = 38,270.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.