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Finding the Fourth Proportional to 32,039.37, 48,059.06 and 9,852.26

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Solution

The fourth proportional to 32,039.37, 48,059.06 and 9,852.26 is: 14,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,039.37 : 48,059.06 = 9,852.26 : x
  2. Step 2: Convert to fraction form
    32,039.37/48,059.06 = 9,852.26/x
  3. Step 3: Cross multiply
    32,039.37x = 48,059.06 × 9,852.26
  4. Step 4: Simplify right side
    32,039.37x = 473,490,064.92
  5. Step 5: Solve for x
    x = 473,490,064.92/32,039.37
  6. Step 6: Final answer
    x = 14,778.38

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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.