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Finding the Fourth Proportional to 32,009.88, 44,174.16 and 17,670.42

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Solution

The fourth proportional to 32,009.88, 44,174.16 and 17,670.42 is: 24,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,009.88 : 44,174.16 = 17,670.42 : x
  2. Step 2: Convert to fraction form
    32,009.88/44,174.16 = 17,670.42/x
  3. Step 3: Cross multiply
    32,009.88x = 44,174.16 × 17,670.42
  4. Step 4: Simplify right side
    32,009.88x = 780,575,960.35
  5. Step 5: Solve for x
    x = 780,575,960.35/32,009.88
  6. Step 6: Final answer
    x = 24,385.47

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1.5x scale

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.