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Finding the Fourth Proportional to 32,620, 45,015.60 and 17,716

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Solution

The fourth proportional to 32,620, 45,015.60 and 17,716 is: 24,448.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,620 : 45,015.60 = 17,716 : x
  2. Step 2: Convert to fraction form
    32,620/45,015.60 = 17,716/x
  3. Step 3: Cross multiply
    32,620x = 45,015.60 × 17,716
  4. Step 4: Simplify right side
    32,620x = 797,496,369.60
  5. Step 5: Solve for x
    x = 797,496,369.60/32,620
  6. Step 6: Final answer
    x = 24,448.08

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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.