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Finding the Fourth Proportional to 30,921.68, 46,388.03 and 9,866.34

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Solution

The fourth proportional to 30,921.68, 46,388.03 and 9,866.34 is: 14,801.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,921.68 : 46,388.03 = 9,866.34 : x
  2. Step 2: Convert to fraction form
    30,921.68/46,388.03 = 9,866.34/x
  3. Step 3: Cross multiply
    30,921.68x = 46,388.03 × 9,866.34
  4. Step 4: Simplify right side
    30,921.68x = 457,680,026.58
  5. Step 5: Solve for x
    x = 457,680,026.58/30,921.68
  6. Step 6: Final answer
    x = 14,801.27

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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.