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Finding the Fourth Proportional to 32,416.50, 48,639.40 and 18,565.50

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Solution

The fourth proportional to 32,416.50, 48,639.40 and 18,565.50 is: 27,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,416.50 : 48,639.40 = 18,565.50 : x
  2. Step 2: Convert to fraction form
    32,416.50/48,639.40 = 18,565.50/x
  3. Step 3: Cross multiply
    32,416.50x = 48,639.40 × 18,565.50
  4. Step 4: Simplify right side
    32,416.50x = 903,014,780.70
  5. Step 5: Solve for x
    x = 903,014,780.70/32,416.50
  6. Step 6: Final answer
    x = 27,856.64

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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.