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Finding the Fourth Proportional to 30,175.67, 45,248.31 and 10,448.93

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Solution

The fourth proportional to 30,175.67, 45,248.31 and 10,448.93 is: 15,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,175.67 : 45,248.31 = 10,448.93 : x
  2. Step 2: Convert to fraction form
    30,175.67/45,248.31 = 10,448.93/x
  3. Step 3: Cross multiply
    30,175.67x = 45,248.31 × 10,448.93
  4. Step 4: Simplify right side
    30,175.67x = 472,796,197.57
  5. Step 5: Solve for x
    x = 472,796,197.57/30,175.67
  6. Step 6: Final answer
    x = 15,668.13

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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.