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Finding the Fourth Proportional to 32,457.56, 48,648.40 and 28,767

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Solution

The fourth proportional to 32,457.56, 48,648.40 and 28,767 is: 43,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,457.56 : 48,648.40 = 28,767 : x
  2. Step 2: Convert to fraction form
    32,457.56/48,648.40 = 28,767/x
  3. Step 3: Cross multiply
    32,457.56x = 48,648.40 × 28,767
  4. Step 4: Simplify right side
    32,457.56x = 1,399,468,522.80
  5. Step 5: Solve for x
    x = 1,399,468,522.80/32,457.56
  6. Step 6: Final answer
    x = 43,116.87

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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.