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Finding the Fourth Proportional to 46,323, 69,484.38 and 11,262.66

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Solution

The fourth proportional to 46,323, 69,484.38 and 11,262.66 is: 16,893.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,323 : 69,484.38 = 11,262.66 : x
  2. Step 2: Convert to fraction form
    46,323/69,484.38 = 11,262.66/x
  3. Step 3: Cross multiply
    46,323x = 69,484.38 × 11,262.66
  4. Step 4: Simplify right side
    46,323x = 782,578,947.25
  5. Step 5: Solve for x
    x = 782,578,947.25/46,323
  6. Step 6: Final answer
    x = 16,893.96

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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.