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Finding the Fourth Proportional to 46,459.84, 64,128.32 and 27,608.32

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Solution

The fourth proportional to 46,459.84, 64,128.32 and 27,608.32 is: 38,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,459.84 : 64,128.32 = 27,608.32 : x
  2. Step 2: Convert to fraction form
    46,459.84/64,128.32 = 27,608.32/x
  3. Step 3: Cross multiply
    46,459.84x = 64,128.32 × 27,608.32
  4. Step 4: Simplify right side
    46,459.84x = 1,770,475,179.62
  5. Step 5: Solve for x
    x = 1,770,475,179.62/46,459.84
  6. Step 6: Final answer
    x = 38,107.65

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1.5x scale

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.