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Finding the Fourth Proportional to 34,315, 47,322.30 and 22,387.48

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Solution

The fourth proportional to 34,315, 47,322.30 and 22,387.48 is: 30,873.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,315 : 47,322.30 = 22,387.48 : x
  2. Step 2: Convert to fraction form
    34,315/47,322.30 = 22,387.48/x
  3. Step 3: Cross multiply
    34,315x = 47,322.30 × 22,387.48
  4. Step 4: Simplify right side
    34,315x = 1,059,427,044.80
  5. Step 5: Solve for x
    x = 1,059,427,044.80/34,315
  6. Step 6: Final answer
    x = 30,873.58

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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.