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Finding the Fourth Proportional to 46,212.84, 69,319.29 and 11,152.50

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Solution

The fourth proportional to 46,212.84, 69,319.29 and 11,152.50 is: 16,728.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,212.84 : 69,319.29 = 11,152.50 : x
  2. Step 2: Convert to fraction form
    46,212.84/69,319.29 = 11,152.50/x
  3. Step 3: Cross multiply
    46,212.84x = 69,319.29 × 11,152.50
  4. Step 4: Simplify right side
    46,212.84x = 773,083,381.73
  5. Step 5: Solve for x
    x = 773,083,381.73/46,212.84
  6. Step 6: Final answer
    x = 16,728.76

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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.