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Finding the Fourth Proportional to 32,322.66, 48,480.30 and 11,259.12

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Solution

The fourth proportional to 32,322.66, 48,480.30 and 11,259.12 is: 16,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,322.66 : 48,480.30 = 11,259.12 : x
  2. Step 2: Convert to fraction form
    32,322.66/48,480.30 = 11,259.12/x
  3. Step 3: Cross multiply
    32,322.66x = 48,480.30 × 11,259.12
  4. Step 4: Simplify right side
    32,322.66x = 545,845,515.34
  5. Step 5: Solve for x
    x = 545,845,515.34/32,322.66
  6. Step 6: Final answer
    x = 16,887.39

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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.