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Finding the Fourth Proportional to 30,410, 45,577.56 and 21,597.20

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Solution

The fourth proportional to 30,410, 45,577.56 and 21,597.20 is: 32,369.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,410 : 45,577.56 = 21,597.20 : x
  2. Step 2: Convert to fraction form
    30,410/45,577.56 = 21,597.20/x
  3. Step 3: Cross multiply
    30,410x = 45,577.56 × 21,597.20
  4. Step 4: Simplify right side
    30,410x = 984,347,678.83
  5. Step 5: Solve for x
    x = 984,347,678.83/30,410
  6. Step 6: Final answer
    x = 32,369.21

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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.