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Finding the Fourth Proportional to 32,470.17, 44,809.55 and 17,934.32

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Solution

The fourth proportional to 32,470.17, 44,809.55 and 17,934.32 is: 24,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470.17 : 44,809.55 = 17,934.32 : x
  2. Step 2: Convert to fraction form
    32,470.17/44,809.55 = 17,934.32/x
  3. Step 3: Cross multiply
    32,470.17x = 44,809.55 × 17,934.32
  4. Step 4: Simplify right side
    32,470.17x = 803,628,495.04
  5. Step 5: Solve for x
    x = 803,628,495.04/32,470.17
  6. Step 6: Final answer
    x = 24,749.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.