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Finding the Fourth Proportional to 32,594, 44,979.76 and 17,690

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Solution

The fourth proportional to 32,594, 44,979.76 and 17,690 is: 24,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,594 : 44,979.76 = 17,690 : x
  2. Step 2: Convert to fraction form
    32,594/44,979.76 = 17,690/x
  3. Step 3: Cross multiply
    32,594x = 44,979.76 × 17,690
  4. Step 4: Simplify right side
    32,594x = 795,691,954.40
  5. Step 5: Solve for x
    x = 795,691,954.40/32,594
  6. Step 6: Final answer
    x = 24,412.22

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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.