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Finding the Fourth Proportional to 85,205.16, 117,594.72 and 49,406.40

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Solution

The fourth proportional to 85,205.16, 117,594.72 and 49,406.40 is: 68,187.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,205.16 : 117,594.72 = 49,406.40 : x
  2. Step 2: Convert to fraction form
    85,205.16/117,594.72 = 49,406.40/x
  3. Step 3: Cross multiply
    85,205.16x = 117,594.72 × 49,406.40
  4. Step 4: Simplify right side
    85,205.16x = 5,809,931,774.21
  5. Step 5: Solve for x
    x = 5,809,931,774.21/85,205.16
  6. Step 6: Final answer
    x = 68,187.56

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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.