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Finding the Fourth Proportional to 32,633, 45,031.38 and 19,201.64

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Solution

The fourth proportional to 32,633, 45,031.38 and 19,201.64 is: 26,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,633 : 45,031.38 = 19,201.64 : x
  2. Step 2: Convert to fraction form
    32,633/45,031.38 = 19,201.64/x
  3. Step 3: Cross multiply
    32,633x = 45,031.38 × 19,201.64
  4. Step 4: Simplify right side
    32,633x = 864,676,347.46
  5. Step 5: Solve for x
    x = 864,676,347.46/32,633
  6. Step 6: Final answer
    x = 26,496.99

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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.