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Finding the Fourth Proportional to 32,599, 44,987.16 and 17,695

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Solution

The fourth proportional to 32,599, 44,987.16 and 17,695 is: 24,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,599 : 44,987.16 = 17,695 : x
  2. Step 2: Convert to fraction form
    32,599/44,987.16 = 17,695/x
  3. Step 3: Cross multiply
    32,599x = 44,987.16 × 17,695
  4. Step 4: Simplify right side
    32,599x = 796,047,796.20
  5. Step 5: Solve for x
    x = 796,047,796.20/32,599
  6. Step 6: Final answer
    x = 24,419.39

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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.