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Finding the Fourth Proportional to 46,232.76, 69,354.60 and 15,068

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Solution

The fourth proportional to 46,232.76, 69,354.60 and 15,068 is: 22,603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,232.76 : 69,354.60 = 15,068 : x
  2. Step 2: Convert to fraction form
    46,232.76/69,354.60 = 15,068/x
  3. Step 3: Cross multiply
    46,232.76x = 69,354.60 × 15,068
  4. Step 4: Simplify right side
    46,232.76x = 1,045,035,112.80
  5. Step 5: Solve for x
    x = 1,045,035,112.80/46,232.76
  6. Step 6: Final answer
    x = 22,603.78

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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.