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Finding the Fourth Proportional to 35,902.46, 53,852.92 and 9,607.20

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Solution

The fourth proportional to 35,902.46, 53,852.92 and 9,607.20 is: 14,410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,902.46 : 53,852.92 = 9,607.20 : x
  2. Step 2: Convert to fraction form
    35,902.46/53,852.92 = 9,607.20/x
  3. Step 3: Cross multiply
    35,902.46x = 53,852.92 × 9,607.20
  4. Step 4: Simplify right side
    35,902.46x = 517,375,773.02
  5. Step 5: Solve for x
    x = 517,375,773.02/35,902.46
  6. Step 6: Final answer
    x = 14,410.59

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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.