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Finding the Fourth Proportional to 32,546.45, 48,802.10 and 14,767.40

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Solution

The fourth proportional to 32,546.45, 48,802.10 and 14,767.40 is: 22,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,546.45 : 48,802.10 = 14,767.40 : x
  2. Step 2: Convert to fraction form
    32,546.45/48,802.10 = 14,767.40/x
  3. Step 3: Cross multiply
    32,546.45x = 48,802.10 × 14,767.40
  4. Step 4: Simplify right side
    32,546.45x = 720,680,290.46
  5. Step 5: Solve for x
    x = 720,680,290.46/32,546.45
  6. Step 6: Final answer
    x = 22,143.13

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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.