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Finding the Fourth Proportional to 34,003.80, 46,918.14 and 19,856.64

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Solution

The fourth proportional to 34,003.80, 46,918.14 and 19,856.64 is: 27,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,003.80 : 46,918.14 = 19,856.64 : x
  2. Step 2: Convert to fraction form
    34,003.80/46,918.14 = 19,856.64/x
  3. Step 3: Cross multiply
    34,003.80x = 46,918.14 × 19,856.64
  4. Step 4: Simplify right side
    34,003.80x = 931,636,716.93
  5. Step 5: Solve for x
    x = 931,636,716.93/34,003.80
  6. Step 6: Final answer
    x = 27,398.02

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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.