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Finding the Fourth Proportional to 85,112.64, 117,453.36 and 47,386.08

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Solution

The fourth proportional to 85,112.64, 117,453.36 and 47,386.08 is: 65,391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,112.64 : 117,453.36 = 47,386.08 : x
  2. Step 2: Convert to fraction form
    85,112.64/117,453.36 = 47,386.08/x
  3. Step 3: Cross multiply
    85,112.64x = 117,453.36 × 47,386.08
  4. Step 4: Simplify right side
    85,112.64x = 5,565,654,313.23
  5. Step 5: Solve for x
    x = 5,565,654,313.23/85,112.64
  6. Step 6: Final answer
    x = 65,391.63

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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.