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Finding the Fourth Proportional to 56,798.30, 85,066.14 and 54,830

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Solution

The fourth proportional to 56,798.30, 85,066.14 and 54,830 is: 82,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,798.30 : 85,066.14 = 54,830 : x
  2. Step 2: Convert to fraction form
    56,798.30/85,066.14 = 54,830/x
  3. Step 3: Cross multiply
    56,798.30x = 85,066.14 × 54,830
  4. Step 4: Simplify right side
    56,798.30x = 4,664,176,456.20
  5. Step 5: Solve for x
    x = 4,664,176,456.20/56,798.30
  6. Step 6: Final answer
    x = 82,118.24

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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.