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Finding the Fourth Proportional to 84,142.76, 116,119.42 and 46,419.44

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Solution

The fourth proportional to 84,142.76, 116,119.42 and 46,419.44 is: 64,060.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,142.76 : 116,119.42 = 46,419.44 : x
  2. Step 2: Convert to fraction form
    84,142.76/116,119.42 = 46,419.44/x
  3. Step 3: Cross multiply
    84,142.76x = 116,119.42 × 46,419.44
  4. Step 4: Simplify right side
    84,142.76x = 5,390,198,449.52
  5. Step 5: Solve for x
    x = 5,390,198,449.52/84,142.76
  6. Step 6: Final answer
    x = 64,060.16

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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.