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Finding the Fourth Proportional to 32,283.88, 48,435.54 and 11,509

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Solution

The fourth proportional to 32,283.88, 48,435.54 and 11,509 is: 17,266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,283.88 : 48,435.54 = 11,509 : x
  2. Step 2: Convert to fraction form
    32,283.88/48,435.54 = 11,509/x
  3. Step 3: Cross multiply
    32,283.88x = 48,435.54 × 11,509
  4. Step 4: Simplify right side
    32,283.88x = 557,444,629.86
  5. Step 5: Solve for x
    x = 557,444,629.86/32,283.88
  6. Step 6: Final answer
    x = 17,266.97

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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.