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Finding the Fourth Proportional to 84,133.95, 116,103 and 46,408.20

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Solution

The fourth proportional to 84,133.95, 116,103 and 46,408.20 is: 64,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,133.95 : 116,103 = 46,408.20 : x
  2. Step 2: Convert to fraction form
    84,133.95/116,103 = 46,408.20/x
  3. Step 3: Cross multiply
    84,133.95x = 116,103 × 46,408.20
  4. Step 4: Simplify right side
    84,133.95x = 5,388,131,244.60
  5. Step 5: Solve for x
    x = 5,388,131,244.60/84,133.95
  6. Step 6: Final answer
    x = 64,042.29

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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.