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Finding the Fourth Proportional to 71,086.86, 98,098.02 and 45,567

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Solution

The fourth proportional to 71,086.86, 98,098.02 and 45,567 is: 62,881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,086.86 : 98,098.02 = 45,567 : x
  2. Step 2: Convert to fraction form
    71,086.86/98,098.02 = 45,567/x
  3. Step 3: Cross multiply
    71,086.86x = 98,098.02 × 45,567
  4. Step 4: Simplify right side
    71,086.86x = 4,470,032,477.34
  5. Step 5: Solve for x
    x = 4,470,032,477.34/71,086.86
  6. Step 6: Final answer
    x = 62,881.28

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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.