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Finding the Fourth Proportional to 38,503.54, 53,138.46 and 23,392.72

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Solution

The fourth proportional to 38,503.54, 53,138.46 and 23,392.72 is: 32,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,503.54 : 53,138.46 = 23,392.72 : x
  2. Step 2: Convert to fraction form
    38,503.54/53,138.46 = 23,392.72/x
  3. Step 3: Cross multiply
    38,503.54x = 53,138.46 × 23,392.72
  4. Step 4: Simplify right side
    38,503.54x = 1,243,053,116.01
  5. Step 5: Solve for x
    x = 1,243,053,116.01/38,503.54
  6. Step 6: Final answer
    x = 32,284.13

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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.