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Finding the Fourth Proportional to 84,135.95, 116,105.76 and 46,410.20

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Solution

The fourth proportional to 84,135.95, 116,105.76 and 46,410.20 is: 64,045.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,135.95 : 116,105.76 = 46,410.20 : x
  2. Step 2: Convert to fraction form
    84,135.95/116,105.76 = 46,410.20/x
  3. Step 3: Cross multiply
    84,135.95x = 116,105.76 × 46,410.20
  4. Step 4: Simplify right side
    84,135.95x = 5,388,491,542.75
  5. Step 5: Solve for x
    x = 5,388,491,542.75/84,135.95
  6. Step 6: Final answer
    x = 64,045.05

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1.5x scale

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.