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Finding the Fourth Proportional to 50,492.84, 69,676.94 and 27,830.58

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Solution

The fourth proportional to 50,492.84, 69,676.94 and 27,830.58 is: 38,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,492.84 : 69,676.94 = 27,830.58 : x
  2. Step 2: Convert to fraction form
    50,492.84/69,676.94 = 27,830.58/x
  3. Step 3: Cross multiply
    50,492.84x = 69,676.94 × 27,830.58
  4. Step 4: Simplify right side
    50,492.84x = 1,939,149,652.83
  5. Step 5: Solve for x
    x = 1,939,149,652.83/50,492.84
  6. Step 6: Final answer
    x = 38,404.45

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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.