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Finding the Fourth Proportional to 85,160.08, 117,508.84 and 48,365

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Solution

The fourth proportional to 85,160.08, 117,508.84 and 48,365 is: 66,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,160.08 : 117,508.84 = 48,365 : x
  2. Step 2: Convert to fraction form
    85,160.08/117,508.84 = 48,365/x
  3. Step 3: Cross multiply
    85,160.08x = 117,508.84 × 48,365
  4. Step 4: Simplify right side
    85,160.08x = 5,683,315,046.60
  5. Step 5: Solve for x
    x = 5,683,315,046.60/85,160.08
  6. Step 6: Final answer
    x = 66,736.84

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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.