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Finding the Fourth Proportional to 55,489.50, 76,575.51 and 30,339

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Solution

The fourth proportional to 55,489.50, 76,575.51 and 30,339 is: 41,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,489.50 : 76,575.51 = 30,339 : x
  2. Step 2: Convert to fraction form
    55,489.50/76,575.51 = 30,339/x
  3. Step 3: Cross multiply
    55,489.50x = 76,575.51 × 30,339
  4. Step 4: Simplify right side
    55,489.50x = 2,323,224,397.89
  5. Step 5: Solve for x
    x = 2,323,224,397.89/55,489.50
  6. Step 6: Final answer
    x = 41,867.82

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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.