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Finding the Fourth Proportional to 34,487.50, 47,592.80 and 19,583.50

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Solution

The fourth proportional to 34,487.50, 47,592.80 and 19,583.50 is: 27,025.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,487.50 : 47,592.80 = 19,583.50 : x
  2. Step 2: Convert to fraction form
    34,487.50/47,592.80 = 19,583.50/x
  3. Step 3: Cross multiply
    34,487.50x = 47,592.80 × 19,583.50
  4. Step 4: Simplify right side
    34,487.50x = 932,033,598.80
  5. Step 5: Solve for x
    x = 932,033,598.80/34,487.50
  6. Step 6: Final answer
    x = 27,025.26

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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.