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Finding the Fourth Proportional to 35,673.55, 49,262.85 and 22,948.85

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Solution

The fourth proportional to 35,673.55, 49,262.85 and 22,948.85 is: 31,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,673.55 : 49,262.85 = 22,948.85 : x
  2. Step 2: Convert to fraction form
    35,673.55/49,262.85 = 22,948.85/x
  3. Step 3: Cross multiply
    35,673.55x = 49,262.85 × 22,948.85
  4. Step 4: Simplify right side
    35,673.55x = 1,130,525,878.38
  5. Step 5: Solve for x
    x = 1,130,525,878.38/35,673.55
  6. Step 6: Final answer
    x = 31,690.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.