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Finding the Fourth Proportional to 32,309.76, 48,465.60 and 12,592.80

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Solution

The fourth proportional to 32,309.76, 48,465.60 and 12,592.80 is: 18,889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,309.76 : 48,465.60 = 12,592.80 : x
  2. Step 2: Convert to fraction form
    32,309.76/48,465.60 = 12,592.80/x
  3. Step 3: Cross multiply
    32,309.76x = 48,465.60 × 12,592.80
  4. Step 4: Simplify right side
    32,309.76x = 610,317,607.68
  5. Step 5: Solve for x
    x = 610,317,607.68/32,309.76
  6. Step 6: Final answer
    x = 18,889.57

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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.