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Finding the Fourth Proportional to 32,657.83, 48,991.33 and 10,466.01

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Solution

The fourth proportional to 32,657.83, 48,991.33 and 10,466.01 is: 15,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.83 : 48,991.33 = 10,466.01 : x
  2. Step 2: Convert to fraction form
    32,657.83/48,991.33 = 10,466.01/x
  3. Step 3: Cross multiply
    32,657.83x = 48,991.33 × 10,466.01
  4. Step 4: Simplify right side
    32,657.83x = 512,743,762.78
  5. Step 5: Solve for x
    x = 512,743,762.78/32,657.83
  6. Step 6: Final answer
    x = 15,700.48

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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.