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Finding the Fourth Proportional to 30,019.65, 45,030.39 and 10,297.92

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Solution

The fourth proportional to 30,019.65, 45,030.39 and 10,297.92 is: 15,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,019.65 : 45,030.39 = 10,297.92 : x
  2. Step 2: Convert to fraction form
    30,019.65/45,030.39 = 10,297.92/x
  3. Step 3: Cross multiply
    30,019.65x = 45,030.39 × 10,297.92
  4. Step 4: Simplify right side
    30,019.65x = 463,719,484.04
  5. Step 5: Solve for x
    x = 463,719,484.04/30,019.65
  6. Step 6: Final answer
    x = 15,447.20

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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.