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Finding the Fourth Proportional to 35,420.80, 53,131.20 and 29,783.20

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Solution

The fourth proportional to 35,420.80, 53,131.20 and 29,783.20 is: 44,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,420.80 : 53,131.20 = 29,783.20 : x
  2. Step 2: Convert to fraction form
    35,420.80/53,131.20 = 29,783.20/x
  3. Step 3: Cross multiply
    35,420.80x = 53,131.20 × 29,783.20
  4. Step 4: Simplify right side
    35,420.80x = 1,582,417,155.84
  5. Step 5: Solve for x
    x = 1,582,417,155.84/35,420.80
  6. Step 6: Final answer
    x = 44,674.80

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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.