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Finding the Fourth Proportional to 32,495.20, 48,742.80 and 12,774.40

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Solution

The fourth proportional to 32,495.20, 48,742.80 and 12,774.40 is: 19,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,495.20 : 48,742.80 = 12,774.40 : x
  2. Step 2: Convert to fraction form
    32,495.20/48,742.80 = 12,774.40/x
  3. Step 3: Cross multiply
    32,495.20x = 48,742.80 × 12,774.40
  4. Step 4: Simplify right side
    32,495.20x = 622,660,024.32
  5. Step 5: Solve for x
    x = 622,660,024.32/32,495.20
  6. Step 6: Final answer
    x = 19,161.60

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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.