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Finding the Fourth Proportional to 35,087.34, 52,631.04 and 9,785.86

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Solution

The fourth proportional to 35,087.34, 52,631.04 and 9,785.86 is: 14,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,087.34 : 52,631.04 = 9,785.86 : x
  2. Step 2: Convert to fraction form
    35,087.34/52,631.04 = 9,785.86/x
  3. Step 3: Cross multiply
    35,087.34x = 52,631.04 × 9,785.86
  4. Step 4: Simplify right side
    35,087.34x = 515,039,989.09
  5. Step 5: Solve for x
    x = 515,039,989.09/35,087.34
  6. Step 6: Final answer
    x = 14,678.80

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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.