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Finding the Fourth Proportional to 32,594.64, 48,854.34 and 15,027.72

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Solution

The fourth proportional to 32,594.64, 48,854.34 and 15,027.72 is: 22,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,594.64 : 48,854.34 = 15,027.72 : x
  2. Step 2: Convert to fraction form
    32,594.64/48,854.34 = 15,027.72/x
  3. Step 3: Cross multiply
    32,594.64x = 48,854.34 × 15,027.72
  4. Step 4: Simplify right side
    32,594.64x = 734,169,342.30
  5. Step 5: Solve for x
    x = 734,169,342.30/32,594.64
  6. Step 6: Final answer
    x = 22,524.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.