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Finding the Fourth Proportional to 46,283.76, 69,414.82 and 13,007.03

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Solution

The fourth proportional to 46,283.76, 69,414.82 and 13,007.03 is: 19,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,283.76 : 69,414.82 = 13,007.03 : x
  2. Step 2: Convert to fraction form
    46,283.76/69,414.82 = 13,007.03/x
  3. Step 3: Cross multiply
    46,283.76x = 69,414.82 × 13,007.03
  4. Step 4: Simplify right side
    46,283.76x = 902,880,266.59
  5. Step 5: Solve for x
    x = 902,880,266.59/46,283.76
  6. Step 6: Final answer
    x = 19,507.50

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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.