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Finding the Fourth Proportional to 30,651, 45,708.27 and 30,370.74

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Solution

The fourth proportional to 30,651, 45,708.27 and 30,370.74 is: 45,290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,651 : 45,708.27 = 30,370.74 : x
  2. Step 2: Convert to fraction form
    30,651/45,708.27 = 30,370.74/x
  3. Step 3: Cross multiply
    30,651x = 45,708.27 × 30,370.74
  4. Step 4: Simplify right side
    30,651x = 1,388,193,926.50
  5. Step 5: Solve for x
    x = 1,388,193,926.50/30,651
  6. Step 6: Final answer
    x = 45,290.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.