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Finding the Fourth Proportional to 32,364.57, 48,565.73 and 13,643.46

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Solution

The fourth proportional to 32,364.57, 48,565.73 and 13,643.46 is: 20,473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,364.57 : 48,565.73 = 13,643.46 : x
  2. Step 2: Convert to fraction form
    32,364.57/48,565.73 = 13,643.46/x
  3. Step 3: Cross multiply
    32,364.57x = 48,565.73 × 13,643.46
  4. Step 4: Simplify right side
    32,364.57x = 662,604,594.63
  5. Step 5: Solve for x
    x = 662,604,594.63/32,364.57
  6. Step 6: Final answer
    x = 20,473.15

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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.