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Finding the Fourth Proportional to 46,153.35, 69,230 and 11,093

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Solution

The fourth proportional to 46,153.35, 69,230 and 11,093 is: 16,639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,153.35 : 69,230 = 11,093 : x
  2. Step 2: Convert to fraction form
    46,153.35/69,230 = 11,093/x
  3. Step 3: Cross multiply
    46,153.35x = 69,230 × 11,093
  4. Step 4: Simplify right side
    46,153.35x = 767,968,390
  5. Step 5: Solve for x
    x = 767,968,390/46,153.35
  6. Step 6: Final answer
    x = 16,639.49

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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.