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Finding the Fourth Proportional to 38,709.99, 53,407.15 and 22,573.64

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Solution

The fourth proportional to 38,709.99, 53,407.15 and 22,573.64 is: 31,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,709.99 : 53,407.15 = 22,573.64 : x
  2. Step 2: Convert to fraction form
    38,709.99/53,407.15 = 22,573.64/x
  3. Step 3: Cross multiply
    38,709.99x = 53,407.15 × 22,573.64
  4. Step 4: Simplify right side
    38,709.99x = 1,205,593,854.61
  5. Step 5: Solve for x
    x = 1,205,593,854.61/38,709.99
  6. Step 6: Final answer
    x = 31,144.26

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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.