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Finding the Fourth Proportional to 32,102.45, 48,172.71 and 14,572.02

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Solution

The fourth proportional to 32,102.45, 48,172.71 and 14,572.02 is: 21,866.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.45 : 48,172.71 = 14,572.02 : x
  2. Step 2: Convert to fraction form
    32,102.45/48,172.71 = 14,572.02/x
  3. Step 3: Cross multiply
    32,102.45x = 48,172.71 × 14,572.02
  4. Step 4: Simplify right side
    32,102.45x = 701,973,693.57
  5. Step 5: Solve for x
    x = 701,973,693.57/32,102.45
  6. Step 6: Final answer
    x = 21,866.67

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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.