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Finding the Fourth Proportional to 32,692, 45,114.96 and 17,788

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Solution

The fourth proportional to 32,692, 45,114.96 and 17,788 is: 24,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,692 : 45,114.96 = 17,788 : x
  2. Step 2: Convert to fraction form
    32,692/45,114.96 = 17,788/x
  3. Step 3: Cross multiply
    32,692x = 45,114.96 × 17,788
  4. Step 4: Simplify right side
    32,692x = 802,504,908.48
  5. Step 5: Solve for x
    x = 802,504,908.48/32,692
  6. Step 6: Final answer
    x = 24,547.44

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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.