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Finding the Fourth Proportional to 32,238.36, 48,362.40 and 11,457

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Solution

The fourth proportional to 32,238.36, 48,362.40 and 11,457 is: 17,187.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,238.36 : 48,362.40 = 11,457 : x
  2. Step 2: Convert to fraction form
    32,238.36/48,362.40 = 11,457/x
  3. Step 3: Cross multiply
    32,238.36x = 48,362.40 × 11,457
  4. Step 4: Simplify right side
    32,238.36x = 554,088,016.80
  5. Step 5: Solve for x
    x = 554,088,016.80/32,238.36
  6. Step 6: Final answer
    x = 17,187.23

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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.