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Finding the Fourth Proportional to 34,842.96, 48,072.69 and 19,733.22

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Solution

The fourth proportional to 34,842.96, 48,072.69 and 19,733.22 is: 27,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,842.96 : 48,072.69 = 19,733.22 : x
  2. Step 2: Convert to fraction form
    34,842.96/48,072.69 = 19,733.22/x
  3. Step 3: Cross multiply
    34,842.96x = 48,072.69 × 19,733.22
  4. Step 4: Simplify right side
    34,842.96x = 948,628,967.76
  5. Step 5: Solve for x
    x = 948,628,967.76/34,842.96
  6. Step 6: Final answer
    x = 27,225.84

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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.