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Finding the Fourth Proportional to 61,634.81, 92,452.82 and 19,514.10

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Solution

The fourth proportional to 61,634.81, 92,452.82 and 19,514.10 is: 29,271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,634.81 : 92,452.82 = 19,514.10 : x
  2. Step 2: Convert to fraction form
    61,634.81/92,452.82 = 19,514.10/x
  3. Step 3: Cross multiply
    61,634.81x = 92,452.82 × 19,514.10
  4. Step 4: Simplify right side
    61,634.81x = 1,804,133,477.19
  5. Step 5: Solve for x
    x = 1,804,133,477.19/61,634.81
  6. Step 6: Final answer
    x = 29,271.34

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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.