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Finding the Fourth Proportional to 85,124.57, 117,471.84 and 46,884.38

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Solution

The fourth proportional to 85,124.57, 117,471.84 and 46,884.38 is: 64,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,124.57 : 117,471.84 = 46,884.38 : x
  2. Step 2: Convert to fraction form
    85,124.57/117,471.84 = 46,884.38/x
  3. Step 3: Cross multiply
    85,124.57x = 117,471.84 × 46,884.38
  4. Step 4: Simplify right side
    85,124.57x = 5,507,594,385.86
  5. Step 5: Solve for x
    x = 5,507,594,385.86/85,124.57
  6. Step 6: Final answer
    x = 64,700.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.