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Finding the Fourth Proportional to 38,548.83, 53,208.65 and 22,419.90

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Solution

The fourth proportional to 38,548.83, 53,208.65 and 22,419.90 is: 30,946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,548.83 : 53,208.65 = 22,419.90 : x
  2. Step 2: Convert to fraction form
    38,548.83/53,208.65 = 22,419.90/x
  3. Step 3: Cross multiply
    38,548.83x = 53,208.65 × 22,419.90
  4. Step 4: Simplify right side
    38,548.83x = 1,192,932,500.04
  5. Step 5: Solve for x
    x = 1,192,932,500.04/38,548.83
  6. Step 6: Final answer
    x = 30,946.01

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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.