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Finding the Fourth Proportional to 32,549.36, 48,824.04 and 11,768

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Solution

The fourth proportional to 32,549.36, 48,824.04 and 11,768 is: 17,652

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,549.36 : 48,824.04 = 11,768 : x
  2. Step 2: Convert to fraction form
    32,549.36/48,824.04 = 11,768/x
  3. Step 3: Cross multiply
    32,549.36x = 48,824.04 × 11,768
  4. Step 4: Simplify right side
    32,549.36x = 574,561,302.72
  5. Step 5: Solve for x
    x = 574,561,302.72/32,549.36
  6. Step 6: Final answer
    x = 17,652

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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.