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Finding the Fourth Proportional to 46,935, 64,760.22 and 27,820.80

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Solution

The fourth proportional to 46,935, 64,760.22 and 27,820.80 is: 38,386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,935 : 64,760.22 = 27,820.80 : x
  2. Step 2: Convert to fraction form
    46,935/64,760.22 = 27,820.80/x
  3. Step 3: Cross multiply
    46,935x = 64,760.22 × 27,820.80
  4. Step 4: Simplify right side
    46,935x = 1,801,681,128.58
  5. Step 5: Solve for x
    x = 1,801,681,128.58/46,935
  6. Step 6: Final answer
    x = 38,386.73

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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.