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Finding the Fourth Proportional to 35,010, 48,315.72 and 20,106.96

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Solution

The fourth proportional to 35,010, 48,315.72 and 20,106.96 is: 27,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,010 : 48,315.72 = 20,106.96 : x
  2. Step 2: Convert to fraction form
    35,010/48,315.72 = 20,106.96/x
  3. Step 3: Cross multiply
    35,010x = 48,315.72 × 20,106.96
  4. Step 4: Simplify right side
    35,010x = 971,482,249.41
  5. Step 5: Solve for x
    x = 971,482,249.41/35,010
  6. Step 6: Final answer
    x = 27,748.71

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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.