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Finding the Fourth Proportional to 32,362.64, 48,550.58 and 13,642.68

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Solution

The fourth proportional to 32,362.64, 48,550.58 and 13,642.68 is: 20,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,362.64 : 48,550.58 = 13,642.68 : x
  2. Step 2: Convert to fraction form
    32,362.64/48,550.58 = 13,642.68/x
  3. Step 3: Cross multiply
    32,362.64x = 48,550.58 × 13,642.68
  4. Step 4: Simplify right side
    32,362.64x = 662,360,268.51
  5. Step 5: Solve for x
    x = 662,360,268.51/32,362.64
  6. Step 6: Final answer
    x = 20,466.82

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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.