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Finding the Fourth Proportional to 61,519.74, 92,291.90 and 19,406.34

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Solution

The fourth proportional to 61,519.74, 92,291.90 and 19,406.34 is: 29,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,519.74 : 92,291.90 = 19,406.34 : x
  2. Step 2: Convert to fraction form
    61,519.74/92,291.90 = 19,406.34/x
  3. Step 3: Cross multiply
    61,519.74x = 92,291.90 × 19,406.34
  4. Step 4: Simplify right side
    61,519.74x = 1,791,048,039.16
  5. Step 5: Solve for x
    x = 1,791,048,039.16/61,519.74
  6. Step 6: Final answer
    x = 29,113.39

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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.