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Finding the Fourth Proportional to 35,820.80, 53,731.65 and 10,861.10

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Solution

The fourth proportional to 35,820.80, 53,731.65 and 10,861.10 is: 16,291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,820.80 : 53,731.65 = 10,861.10 : x
  2. Step 2: Convert to fraction form
    35,820.80/53,731.65 = 10,861.10/x
  3. Step 3: Cross multiply
    35,820.80x = 53,731.65 × 10,861.10
  4. Step 4: Simplify right side
    35,820.80x = 583,584,823.82
  5. Step 5: Solve for x
    x = 583,584,823.82/35,820.80
  6. Step 6: Final answer
    x = 16,291.79

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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.