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Finding the Fourth Proportional to 30,185.20, 45,248.64 and 10,448.92

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Solution

The fourth proportional to 30,185.20, 45,248.64 and 10,448.92 is: 15,663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,185.20 : 45,248.64 = 10,448.92 : x
  2. Step 2: Convert to fraction form
    30,185.20/45,248.64 = 10,448.92/x
  3. Step 3: Cross multiply
    30,185.20x = 45,248.64 × 10,448.92
  4. Step 4: Simplify right side
    30,185.20x = 472,799,419.47
  5. Step 5: Solve for x
    x = 472,799,419.47/30,185.20
  6. Step 6: Final answer
    x = 15,663.29

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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.