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Finding the Fourth Proportional to 35,630, 53,437.69 and 20,827.65

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Solution

The fourth proportional to 35,630, 53,437.69 and 20,827.65 is: 31,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,630 : 53,437.69 = 20,827.65 : x
  2. Step 2: Convert to fraction form
    35,630/53,437.69 = 20,827.65/x
  3. Step 3: Cross multiply
    35,630x = 53,437.69 × 20,827.65
  4. Step 4: Simplify right side
    35,630x = 1,112,981,504.13
  5. Step 5: Solve for x
    x = 1,112,981,504.13/35,630
  6. Step 6: Final answer
    x = 31,237.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.