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Finding the Fourth Proportional to 30,011.93, 45,017.90 and 10,290.66

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Solution

The fourth proportional to 30,011.93, 45,017.90 and 10,290.66 is: 15,435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,011.93 : 45,017.90 = 10,290.66 : x
  2. Step 2: Convert to fraction form
    30,011.93/45,017.90 = 10,290.66/x
  3. Step 3: Cross multiply
    30,011.93x = 45,017.90 × 10,290.66
  4. Step 4: Simplify right side
    30,011.93x = 463,263,902.81
  5. Step 5: Solve for x
    x = 463,263,902.81/30,011.93
  6. Step 6: Final answer
    x = 15,435.99

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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.