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Finding the Fourth Proportional to 38,454, 53,067.06 and 23,550

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Solution

The fourth proportional to 38,454, 53,067.06 and 23,550 is: 32,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,454 : 53,067.06 = 23,550 : x
  2. Step 2: Convert to fraction form
    38,454/53,067.06 = 23,550/x
  3. Step 3: Cross multiply
    38,454x = 53,067.06 × 23,550
  4. Step 4: Simplify right side
    38,454x = 1,249,729,263
  5. Step 5: Solve for x
    x = 1,249,729,263/38,454
  6. Step 6: Final answer
    x = 32,499.33

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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.