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Finding the Fourth Proportional to 35,640.42, 53,463.87 and 9,345.06

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Solution

The fourth proportional to 35,640.42, 53,463.87 and 9,345.06 is: 14,018.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,640.42 : 53,463.87 = 9,345.06 : x
  2. Step 2: Convert to fraction form
    35,640.42/53,463.87 = 9,345.06/x
  3. Step 3: Cross multiply
    35,640.42x = 53,463.87 × 9,345.06
  4. Step 4: Simplify right side
    35,640.42x = 499,623,072.98
  5. Step 5: Solve for x
    x = 499,623,072.98/35,640.42
  6. Step 6: Final answer
    x = 14,018.44

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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.