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Finding the Fourth Proportional to 83,028.94, 114,582.46 and 47,224.10

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Solution

The fourth proportional to 83,028.94, 114,582.46 and 47,224.10 is: 65,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,028.94 : 114,582.46 = 47,224.10 : x
  2. Step 2: Convert to fraction form
    83,028.94/114,582.46 = 47,224.10/x
  3. Step 3: Cross multiply
    83,028.94x = 114,582.46 × 47,224.10
  4. Step 4: Simplify right side
    83,028.94x = 5,411,053,549.29
  5. Step 5: Solve for x
    x = 5,411,053,549.29/83,028.94
  6. Step 6: Final answer
    x = 65,170.69

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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.