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Finding the Fourth Proportional to 32,602.23, 48,903.32 and 9,228.67

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Solution

The fourth proportional to 32,602.23, 48,903.32 and 9,228.67 is: 13,842.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,602.23 : 48,903.32 = 9,228.67 : x
  2. Step 2: Convert to fraction form
    32,602.23/48,903.32 = 9,228.67/x
  3. Step 3: Cross multiply
    32,602.23x = 48,903.32 × 9,228.67
  4. Step 4: Simplify right side
    32,602.23x = 451,312,503.00
  5. Step 5: Solve for x
    x = 451,312,503.00/32,602.23
  6. Step 6: Final answer
    x = 13,842.99

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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.