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Finding the Fourth Proportional to 30,824.61, 46,237.11 and 10,048.11

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Solution

The fourth proportional to 30,824.61, 46,237.11 and 10,048.11 is: 15,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,824.61 : 46,237.11 = 10,048.11 : x
  2. Step 2: Convert to fraction form
    30,824.61/46,237.11 = 10,048.11/x
  3. Step 3: Cross multiply
    30,824.61x = 46,237.11 × 10,048.11
  4. Step 4: Simplify right side
    30,824.61x = 464,595,567.36
  5. Step 5: Solve for x
    x = 464,595,567.36/30,824.61
  6. Step 6: Final answer
    x = 15,072.23

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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.