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Finding the Fourth Proportional to 38,548.96, 53,197.76 and 20,884.96

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Solution

The fourth proportional to 38,548.96, 53,197.76 and 20,884.96 is: 28,821.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,548.96 : 53,197.76 = 20,884.96 : x
  2. Step 2: Convert to fraction form
    38,548.96/53,197.76 = 20,884.96/x
  3. Step 3: Cross multiply
    38,548.96x = 53,197.76 × 20,884.96
  4. Step 4: Simplify right side
    38,548.96x = 1,111,033,089.69
  5. Step 5: Solve for x
    x = 1,111,033,089.69/38,548.96
  6. Step 6: Final answer
    x = 28,821.35

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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.