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Finding the Fourth Proportional to 85,435.68, 117,897.48 and 47,709.12

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Solution

The fourth proportional to 85,435.68, 117,897.48 and 47,709.12 is: 65,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,435.68 : 117,897.48 = 47,709.12 : x
  2. Step 2: Convert to fraction form
    85,435.68/117,897.48 = 47,709.12/x
  3. Step 3: Cross multiply
    85,435.68x = 117,897.48 × 47,709.12
  4. Step 4: Simplify right side
    85,435.68x = 5,624,785,021.02
  5. Step 5: Solve for x
    x = 5,624,785,021.02/85,435.68
  6. Step 6: Final answer
    x = 65,836.49

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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.