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Finding the Fourth Proportional to 85,214.50, 117,594.40 and 49,407.84

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Solution

The fourth proportional to 85,214.50, 117,594.40 and 49,407.84 is: 68,181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,214.50 : 117,594.40 = 49,407.84 : x
  2. Step 2: Convert to fraction form
    85,214.50/117,594.40 = 49,407.84/x
  3. Step 3: Cross multiply
    85,214.50x = 117,594.40 × 49,407.84
  4. Step 4: Simplify right side
    85,214.50x = 5,810,085,300.10
  5. Step 5: Solve for x
    x = 5,810,085,300.10/85,214.50
  6. Step 6: Final answer
    x = 68,181.89

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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.