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Finding the Fourth Proportional to 38,435.32, 53,032.64 and 23,335.92

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Solution

The fourth proportional to 38,435.32, 53,032.64 and 23,335.92 is: 32,198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,435.32 : 53,032.64 = 23,335.92 : x
  2. Step 2: Convert to fraction form
    38,435.32/53,032.64 = 23,335.92/x
  3. Step 3: Cross multiply
    38,435.32x = 53,032.64 × 23,335.92
  4. Step 4: Simplify right side
    38,435.32x = 1,237,565,444.43
  5. Step 5: Solve for x
    x = 1,237,565,444.43/38,435.32
  6. Step 6: Final answer
    x = 32,198.65

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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.