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Finding the Fourth Proportional to 61,504.94, 92,271.42 and 19,384.80

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Solution

The fourth proportional to 61,504.94, 92,271.42 and 19,384.80 is: 29,081.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,504.94 : 92,271.42 = 19,384.80 : x
  2. Step 2: Convert to fraction form
    61,504.94/92,271.42 = 19,384.80/x
  3. Step 3: Cross multiply
    61,504.94x = 92,271.42 × 19,384.80
  4. Step 4: Simplify right side
    61,504.94x = 1,788,663,022.42
  5. Step 5: Solve for x
    x = 1,788,663,022.42/61,504.94
  6. Step 6: Final answer
    x = 29,081.62

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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.