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Finding the Fourth Proportional to 85,214.69, 117,590.89 and 46,972.13

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Solution

The fourth proportional to 85,214.69, 117,590.89 and 46,972.13 is: 64,818.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,214.69 : 117,590.89 = 46,972.13 : x
  2. Step 2: Convert to fraction form
    85,214.69/117,590.89 = 46,972.13/x
  3. Step 3: Cross multiply
    85,214.69x = 117,590.89 × 46,972.13
  4. Step 4: Simplify right side
    85,214.69x = 5,523,494,571.90
  5. Step 5: Solve for x
    x = 5,523,494,571.90/85,214.69
  6. Step 6: Final answer
    x = 64,818.57

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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.