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Finding the Fourth Proportional to 109,691.69, 164,537.46 and 39,570.93

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Solution

The fourth proportional to 109,691.69, 164,537.46 and 39,570.93 is: 59,356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,691.69 : 164,537.46 = 39,570.93 : x
  2. Step 2: Convert to fraction form
    109,691.69/164,537.46 = 39,570.93/x
  3. Step 3: Cross multiply
    109,691.69x = 164,537.46 × 39,570.93
  4. Step 4: Simplify right side
    109,691.69x = 6,510,900,312.04
  5. Step 5: Solve for x
    x = 6,510,900,312.04/109,691.69
  6. Step 6: Final answer
    x = 59,356.37

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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.