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Finding the Fourth Proportional to 35,902.96, 53,853.67 and 9,607.71

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Solution

The fourth proportional to 35,902.96, 53,853.67 and 9,607.71 is: 14,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,902.96 : 53,853.67 = 9,607.71 : x
  2. Step 2: Convert to fraction form
    35,902.96/53,853.67 = 9,607.71/x
  3. Step 3: Cross multiply
    35,902.96x = 53,853.67 × 9,607.71
  4. Step 4: Simplify right side
    35,902.96x = 517,410,443.80
  5. Step 5: Solve for x
    x = 517,410,443.80/35,902.96
  6. Step 6: Final answer
    x = 14,411.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.