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Finding the Fourth Proportional to 32,817, 45,288.56 and 17,913

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Solution

The fourth proportional to 32,817, 45,288.56 and 17,913 is: 24,720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,817 : 45,288.56 = 17,913 : x
  2. Step 2: Convert to fraction form
    32,817/45,288.56 = 17,913/x
  3. Step 3: Cross multiply
    32,817x = 45,288.56 × 17,913
  4. Step 4: Simplify right side
    32,817x = 811,253,975.28
  5. Step 5: Solve for x
    x = 811,253,975.28/32,817
  6. Step 6: Final answer
    x = 24,720.54

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1.5x scale

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.