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Finding the Fourth Proportional to 32,404.51, 48,607.17 and 9,029.53

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Solution

The fourth proportional to 32,404.51, 48,607.17 and 9,029.53 is: 13,544.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,404.51 : 48,607.17 = 9,029.53 : x
  2. Step 2: Convert to fraction form
    32,404.51/48,607.17 = 9,029.53/x
  3. Step 3: Cross multiply
    32,404.51x = 48,607.17 × 9,029.53
  4. Step 4: Simplify right side
    32,404.51x = 438,899,899.73
  5. Step 5: Solve for x
    x = 438,899,899.73/32,404.51
  6. Step 6: Final answer
    x = 13,544.41

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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.