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Finding the Fourth Proportional to 46,422.78, 64,080 and 27,559.86

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Solution

The fourth proportional to 46,422.78, 64,080 and 27,559.86 is: 38,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,422.78 : 64,080 = 27,559.86 : x
  2. Step 2: Convert to fraction form
    46,422.78/64,080 = 27,559.86/x
  3. Step 3: Cross multiply
    46,422.78x = 64,080 × 27,559.86
  4. Step 4: Simplify right side
    46,422.78x = 1,766,035,828.80
  5. Step 5: Solve for x
    x = 1,766,035,828.80/46,422.78
  6. Step 6: Final answer
    x = 38,042.44

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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.