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Finding the Fourth Proportional to 66,971.30, 100,420.45 and 20,218.10

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Solution

The fourth proportional to 66,971.30, 100,420.45 and 20,218.10 is: 30,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,971.30 : 100,420.45 = 20,218.10 : x
  2. Step 2: Convert to fraction form
    66,971.30/100,420.45 = 20,218.10/x
  3. Step 3: Cross multiply
    66,971.30x = 100,420.45 × 20,218.10
  4. Step 4: Simplify right side
    66,971.30x = 2,030,310,700.15
  5. Step 5: Solve for x
    x = 2,030,310,700.15/66,971.30
  6. Step 6: Final answer
    x = 30,316.13

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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.