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Finding the Fourth Proportional to 46,699.56, 64,436.58 and 27,838.44

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Solution

The fourth proportional to 46,699.56, 64,436.58 and 27,838.44 is: 38,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,699.56 : 64,436.58 = 27,838.44 : x
  2. Step 2: Convert to fraction form
    46,699.56/64,436.58 = 27,838.44/x
  3. Step 3: Cross multiply
    46,699.56x = 64,436.58 × 27,838.44
  4. Step 4: Simplify right side
    46,699.56x = 1,793,813,866.14
  5. Step 5: Solve for x
    x = 1,793,813,866.14/46,699.56
  6. Step 6: Final answer
    x = 38,411.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.