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Finding the Fourth Proportional to 35,704.40, 53,559.20 and 10,742.48

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Solution

The fourth proportional to 35,704.40, 53,559.20 and 10,742.48 is: 16,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.40 : 53,559.20 = 10,742.48 : x
  2. Step 2: Convert to fraction form
    35,704.40/53,559.20 = 10,742.48/x
  3. Step 3: Cross multiply
    35,704.40x = 53,559.20 × 10,742.48
  4. Step 4: Simplify right side
    35,704.40x = 575,358,634.82
  5. Step 5: Solve for x
    x = 575,358,634.82/35,704.40
  6. Step 6: Final answer
    x = 16,114.50

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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.