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Finding the Fourth Proportional to 85,111.14, 117,451.29 and 47,384.58

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Solution

The fourth proportional to 85,111.14, 117,451.29 and 47,384.58 is: 65,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,111.14 : 117,451.29 = 47,384.58 : x
  2. Step 2: Convert to fraction form
    85,111.14/117,451.29 = 47,384.58/x
  3. Step 3: Cross multiply
    85,111.14x = 117,451.29 × 47,384.58
  4. Step 4: Simplify right side
    85,111.14x = 5,565,380,047.11
  5. Step 5: Solve for x
    x = 5,565,380,047.11/85,111.14
  6. Step 6: Final answer
    x = 65,389.56

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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.