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Finding the Fourth Proportional to 85,370.45, 117,823.10 and 47,647.13

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Solution

The fourth proportional to 85,370.45, 117,823.10 and 47,647.13 is: 65,759.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,370.45 : 117,823.10 = 47,647.13 : x
  2. Step 2: Convert to fraction form
    85,370.45/117,823.10 = 47,647.13/x
  3. Step 3: Cross multiply
    85,370.45x = 117,823.10 × 47,647.13
  4. Step 4: Simplify right side
    85,370.45x = 5,613,931,735.35
  5. Step 5: Solve for x
    x = 5,613,931,735.35/85,370.45
  6. Step 6: Final answer
    x = 65,759.66

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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.