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Finding the Fourth Proportional to 38,783.12, 53,525.66 and 23,672.54

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Solution

The fourth proportional to 38,783.12, 53,525.66 and 23,672.54 is: 32,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,783.12 : 53,525.66 = 23,672.54 : x
  2. Step 2: Convert to fraction form
    38,783.12/53,525.66 = 23,672.54/x
  3. Step 3: Cross multiply
    38,783.12x = 53,525.66 × 23,672.54
  4. Step 4: Simplify right side
    38,783.12x = 1,267,087,941.39
  5. Step 5: Solve for x
    x = 1,267,087,941.39/38,783.12
  6. Step 6: Final answer
    x = 32,671.12

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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.