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Finding the Fourth Proportional to 82,792.25, 114,253.32 and 45,066.50

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Solution

The fourth proportional to 82,792.25, 114,253.32 and 45,066.50 is: 62,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,792.25 : 114,253.32 = 45,066.50 : x
  2. Step 2: Convert to fraction form
    82,792.25/114,253.32 = 45,066.50/x
  3. Step 3: Cross multiply
    82,792.25x = 114,253.32 × 45,066.50
  4. Step 4: Simplify right side
    82,792.25x = 5,148,997,245.78
  5. Step 5: Solve for x
    x = 5,148,997,245.78/82,792.25
  6. Step 6: Final answer
    x = 62,191.78

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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.