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Finding the Fourth Proportional to 32,238.60, 48,328.72 and 11,457.24

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Solution

The fourth proportional to 32,238.60, 48,328.72 and 11,457.24 is: 17,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,238.60 : 48,328.72 = 11,457.24 : x
  2. Step 2: Convert to fraction form
    32,238.60/48,328.72 = 11,457.24/x
  3. Step 3: Cross multiply
    32,238.60x = 48,328.72 × 11,457.24
  4. Step 4: Simplify right side
    32,238.60x = 553,713,743.93
  5. Step 5: Solve for x
    x = 553,713,743.93/32,238.60
  6. Step 6: Final answer
    x = 17,175.49

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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.