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Finding the Fourth Proportional to 55,702.56, 76,869.20 and 30,552

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Solution

The fourth proportional to 55,702.56, 76,869.20 and 30,552 is: 42,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,702.56 : 76,869.20 = 30,552 : x
  2. Step 2: Convert to fraction form
    55,702.56/76,869.20 = 30,552/x
  3. Step 3: Cross multiply
    55,702.56x = 76,869.20 × 30,552
  4. Step 4: Simplify right side
    55,702.56x = 2,348,507,798.40
  5. Step 5: Solve for x
    x = 2,348,507,798.40/55,702.56
  6. Step 6: Final answer
    x = 42,161.58

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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.