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Finding the Fourth Proportional to 32,403.36, 48,607.74 and 9,029.64

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Solution

The fourth proportional to 32,403.36, 48,607.74 and 9,029.64 is: 13,545.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,403.36 : 48,607.74 = 9,029.64 : x
  2. Step 2: Convert to fraction form
    32,403.36/48,607.74 = 9,029.64/x
  3. Step 3: Cross multiply
    32,403.36x = 48,607.74 × 9,029.64
  4. Step 4: Simplify right side
    32,403.36x = 438,910,393.41
  5. Step 5: Solve for x
    x = 438,910,393.41/32,403.36
  6. Step 6: Final answer
    x = 13,545.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.