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Finding the Fourth Proportional to 32,471.01, 44,809.74 and 17,567.01

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Solution

The fourth proportional to 32,471.01, 44,809.74 and 17,567.01 is: 24,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.01 : 44,809.74 = 17,567.01 : x
  2. Step 2: Convert to fraction form
    32,471.01/44,809.74 = 17,567.01/x
  3. Step 3: Cross multiply
    32,471.01x = 44,809.74 × 17,567.01
  4. Step 4: Simplify right side
    32,471.01x = 787,173,150.68
  5. Step 5: Solve for x
    x = 787,173,150.68/32,471.01
  6. Step 6: Final answer
    x = 24,242.34

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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.