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Finding the Fourth Proportional to 32,459.74, 48,695.77 and 10,271.26

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Solution

The fourth proportional to 32,459.74, 48,695.77 and 10,271.26 is: 15,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,459.74 : 48,695.77 = 10,271.26 : x
  2. Step 2: Convert to fraction form
    32,459.74/48,695.77 = 10,271.26/x
  3. Step 3: Cross multiply
    32,459.74x = 48,695.77 × 10,271.26
  4. Step 4: Simplify right side
    32,459.74x = 500,166,930.50
  5. Step 5: Solve for x
    x = 500,166,930.50/32,459.74
  6. Step 6: Final answer
    x = 15,408.84

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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.