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Finding the Fourth Proportional to 34,672.50, 52,017.39 and 10,048.50

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Solution

The fourth proportional to 34,672.50, 52,017.39 and 10,048.50 is: 15,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,672.50 : 52,017.39 = 10,048.50 : x
  2. Step 2: Convert to fraction form
    34,672.50/52,017.39 = 10,048.50/x
  3. Step 3: Cross multiply
    34,672.50x = 52,017.39 × 10,048.50
  4. Step 4: Simplify right side
    34,672.50x = 522,696,743.42
  5. Step 5: Solve for x
    x = 522,696,743.42/34,672.50
  6. Step 6: Final answer
    x = 15,075.25

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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.