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Finding the Fourth Proportional to 59,464, 89,201.76 and 20,031.04

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Solution

The fourth proportional to 59,464, 89,201.76 and 20,031.04 is: 30,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,464 : 89,201.76 = 20,031.04 : x
  2. Step 2: Convert to fraction form
    59,464/89,201.76 = 20,031.04/x
  3. Step 3: Cross multiply
    59,464x = 89,201.76 × 20,031.04
  4. Step 4: Simplify right side
    59,464x = 1,786,804,022.63
  5. Step 5: Solve for x
    x = 1,786,804,022.63/59,464
  6. Step 6: Final answer
    x = 30,048.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.