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Finding the Fourth Proportional to 35,210.79, 52,783.11 and 11,820.83

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Solution

The fourth proportional to 35,210.79, 52,783.11 and 11,820.83 is: 17,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,210.79 : 52,783.11 = 11,820.83 : x
  2. Step 2: Convert to fraction form
    35,210.79/52,783.11 = 11,820.83/x
  3. Step 3: Cross multiply
    35,210.79x = 52,783.11 × 11,820.83
  4. Step 4: Simplify right side
    35,210.79x = 623,939,906.27
  5. Step 5: Solve for x
    x = 623,939,906.27/35,210.79
  6. Step 6: Final answer
    x = 17,720.13

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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.