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Finding the Fourth Proportional to 32,880, 49,346.88 and 23,039.04

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Solution

The fourth proportional to 32,880, 49,346.88 and 23,039.04 is: 34,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,880 : 49,346.88 = 23,039.04 : x
  2. Step 2: Convert to fraction form
    32,880/49,346.88 = 23,039.04/x
  3. Step 3: Cross multiply
    32,880x = 49,346.88 × 23,039.04
  4. Step 4: Simplify right side
    32,880x = 1,136,904,742.20
  5. Step 5: Solve for x
    x = 1,136,904,742.20/32,880
  6. Step 6: Final answer
    x = 34,577.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.