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Finding the Fourth Proportional to 32,120.48, 44,328.12 and 17,973.20

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Solution

The fourth proportional to 32,120.48, 44,328.12 and 17,973.20 is: 24,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,120.48 : 44,328.12 = 17,973.20 : x
  2. Step 2: Convert to fraction form
    32,120.48/44,328.12 = 17,973.20/x
  3. Step 3: Cross multiply
    32,120.48x = 44,328.12 × 17,973.20
  4. Step 4: Simplify right side
    32,120.48x = 796,718,166.38
  5. Step 5: Solve for x
    x = 796,718,166.38/32,120.48
  6. Step 6: Final answer
    x = 24,804.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.