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Finding the Fourth Proportional to 32,184.54, 44,415.54 and 18,038.30

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Solution

The fourth proportional to 32,184.54, 44,415.54 and 18,038.30 is: 24,893.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184.54 : 44,415.54 = 18,038.30 : x
  2. Step 2: Convert to fraction form
    32,184.54/44,415.54 = 18,038.30/x
  3. Step 3: Cross multiply
    32,184.54x = 44,415.54 × 18,038.30
  4. Step 4: Simplify right side
    32,184.54x = 801,180,613.10
  5. Step 5: Solve for x
    x = 801,180,613.10/32,184.54
  6. Step 6: Final answer
    x = 24,893.34

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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.