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Finding the Fourth Proportional to 30,494.88, 45,830.88 and 20,172.24

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Solution

The fourth proportional to 30,494.88, 45,830.88 and 20,172.24 is: 30,316.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494.88 : 45,830.88 = 20,172.24 : x
  2. Step 2: Convert to fraction form
    30,494.88/45,830.88 = 20,172.24/x
  3. Step 3: Cross multiply
    30,494.88x = 45,830.88 × 20,172.24
  4. Step 4: Simplify right side
    30,494.88x = 924,511,510.77
  5. Step 5: Solve for x
    x = 924,511,510.77/30,494.88
  6. Step 6: Final answer
    x = 30,316.94

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1.5x scale

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.