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Finding the Fourth Proportional to 32,530.48, 48,804.24 and 13,811.20

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Solution

The fourth proportional to 32,530.48, 48,804.24 and 13,811.20 is: 20,720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,530.48 : 48,804.24 = 13,811.20 : x
  2. Step 2: Convert to fraction form
    32,530.48/48,804.24 = 13,811.20/x
  3. Step 3: Cross multiply
    32,530.48x = 48,804.24 × 13,811.20
  4. Step 4: Simplify right side
    32,530.48x = 674,045,119.49
  5. Step 5: Solve for x
    x = 674,045,119.49/32,530.48
  6. Step 6: Final answer
    x = 20,720.42

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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.