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Finding the Fourth Proportional to 32,652.96, 44,991.63 and 22,024.14

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Solution

The fourth proportional to 32,652.96, 44,991.63 and 22,024.14 is: 30,346.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,652.96 : 44,991.63 = 22,024.14 : x
  2. Step 2: Convert to fraction form
    32,652.96/44,991.63 = 22,024.14/x
  3. Step 3: Cross multiply
    32,652.96x = 44,991.63 × 22,024.14
  4. Step 4: Simplify right side
    32,652.96x = 990,901,957.95
  5. Step 5: Solve for x
    x = 990,901,957.95/32,652.96
  6. Step 6: Final answer
    x = 30,346.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.