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Finding the Fourth Proportional to 32,467.60, 48,720.60 and 11,688.40

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Solution

The fourth proportional to 32,467.60, 48,720.60 and 11,688.40 is: 17,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,467.60 : 48,720.60 = 11,688.40 : x
  2. Step 2: Convert to fraction form
    32,467.60/48,720.60 = 11,688.40/x
  3. Step 3: Cross multiply
    32,467.60x = 48,720.60 × 11,688.40
  4. Step 4: Simplify right side
    32,467.60x = 569,465,861.04
  5. Step 5: Solve for x
    x = 569,465,861.04/32,467.60
  6. Step 6: Final answer
    x = 17,539.51

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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.