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Finding the Fourth Proportional to 38,769, 53,502.60 and 22,867.08

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Solution

The fourth proportional to 38,769, 53,502.60 and 22,867.08 is: 31,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,769 : 53,502.60 = 22,867.08 : x
  2. Step 2: Convert to fraction form
    38,769/53,502.60 = 22,867.08/x
  3. Step 3: Cross multiply
    38,769x = 53,502.60 × 22,867.08
  4. Step 4: Simplify right side
    38,769x = 1,223,448,234.41
  5. Step 5: Solve for x
    x = 1,223,448,234.41/38,769
  6. Step 6: Final answer
    x = 31,557.38

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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.