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Finding the Fourth Proportional to 32,470.50, 44,809.38 and 17,566.50

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Solution

The fourth proportional to 32,470.50, 44,809.38 and 17,566.50 is: 24,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470.50 : 44,809.38 = 17,566.50 : x
  2. Step 2: Convert to fraction form
    32,470.50/44,809.38 = 17,566.50/x
  3. Step 3: Cross multiply
    32,470.50x = 44,809.38 × 17,566.50
  4. Step 4: Simplify right side
    32,470.50x = 787,143,973.77
  5. Step 5: Solve for x
    x = 787,143,973.77/32,470.50
  6. Step 6: Final answer
    x = 24,241.82

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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.