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Finding the Fourth Proportional to 38,476.22, 52,978.74 and 32,798.24

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Solution

The fourth proportional to 38,476.22, 52,978.74 and 32,798.24 is: 45,160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,476.22 : 52,978.74 = 32,798.24 : x
  2. Step 2: Convert to fraction form
    38,476.22/52,978.74 = 32,798.24/x
  3. Step 3: Cross multiply
    38,476.22x = 52,978.74 × 32,798.24
  4. Step 4: Simplify right side
    38,476.22x = 1,737,609,429.42
  5. Step 5: Solve for x
    x = 1,737,609,429.42/38,476.22
  6. Step 6: Final answer
    x = 45,160.61

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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.