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Finding the Fourth Proportional to 83,029.06, 114,582.63 and 47,224.23

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Solution

The fourth proportional to 83,029.06, 114,582.63 and 47,224.23 is: 65,170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,029.06 : 114,582.63 = 47,224.23 : x
  2. Step 2: Convert to fraction form
    83,029.06/114,582.63 = 47,224.23/x
  3. Step 3: Cross multiply
    83,029.06x = 114,582.63 × 47,224.23
  4. Step 4: Simplify right side
    83,029.06x = 5,411,076,473.12
  5. Step 5: Solve for x
    x = 5,411,076,473.12/83,029.06
  6. Step 6: Final answer
    x = 65,170.87

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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.