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Finding the Fourth Proportional to 32,566.16, 44,941.38 and 17,662.16

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Solution

The fourth proportional to 32,566.16, 44,941.38 and 17,662.16 is: 24,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,566.16 : 44,941.38 = 17,662.16 : x
  2. Step 2: Convert to fraction form
    32,566.16/44,941.38 = 17,662.16/x
  3. Step 3: Cross multiply
    32,566.16x = 44,941.38 × 17,662.16
  4. Step 4: Simplify right side
    32,566.16x = 793,761,844.18
  5. Step 5: Solve for x
    x = 793,761,844.18/32,566.16
  6. Step 6: Final answer
    x = 24,373.82

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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.