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Finding the Fourth Proportional to 46,322.78, 69,484.16 and 11,262.13

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Solution

The fourth proportional to 46,322.78, 69,484.16 and 11,262.13 is: 16,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,322.78 : 69,484.16 = 11,262.13 : x
  2. Step 2: Convert to fraction form
    46,322.78/69,484.16 = 11,262.13/x
  3. Step 3: Cross multiply
    46,322.78x = 69,484.16 × 11,262.13
  4. Step 4: Simplify right side
    46,322.78x = 782,539,497.31
  5. Step 5: Solve for x
    x = 782,539,497.31/46,322.78
  6. Step 6: Final answer
    x = 16,893.19

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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.