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Finding the Fourth Proportional to 32,851.80, 49,250.70 and 14,146.20

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Solution

The fourth proportional to 32,851.80, 49,250.70 and 14,146.20 is: 21,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,851.80 : 49,250.70 = 14,146.20 : x
  2. Step 2: Convert to fraction form
    32,851.80/49,250.70 = 14,146.20/x
  3. Step 3: Cross multiply
    32,851.80x = 49,250.70 × 14,146.20
  4. Step 4: Simplify right side
    32,851.80x = 696,710,252.34
  5. Step 5: Solve for x
    x = 696,710,252.34/32,851.80
  6. Step 6: Final answer
    x = 21,207.67

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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.