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Finding the Fourth Proportional to 35,689.86, 53,530.54 and 9,396.65

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Solution

The fourth proportional to 35,689.86, 53,530.54 and 9,396.65 is: 14,093.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,689.86 : 53,530.54 = 9,396.65 : x
  2. Step 2: Convert to fraction form
    35,689.86/53,530.54 = 9,396.65/x
  3. Step 3: Cross multiply
    35,689.86x = 53,530.54 × 9,396.65
  4. Step 4: Simplify right side
    35,689.86x = 503,007,859.03
  5. Step 5: Solve for x
    x = 503,007,859.03/35,689.86
  6. Step 6: Final answer
    x = 14,093.86

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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.