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Finding the Fourth Proportional to 32,367.32, 48,569.86 and 13,646.22

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Solution

The fourth proportional to 32,367.32, 48,569.86 and 13,646.22 is: 20,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,367.32 : 48,569.86 = 13,646.22 : x
  2. Step 2: Convert to fraction form
    32,367.32/48,569.86 = 13,646.22/x
  3. Step 3: Cross multiply
    32,367.32x = 48,569.86 × 13,646.22
  4. Step 4: Simplify right side
    32,367.32x = 662,794,994.93
  5. Step 5: Solve for x
    x = 662,794,994.93/32,367.32
  6. Step 6: Final answer
    x = 20,477.29

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1.5x scale

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.