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Finding the Fourth Proportional to 30,106.74, 45,162.54 and 9,330.24

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Solution

The fourth proportional to 30,106.74, 45,162.54 and 9,330.24 is: 13,996.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.74 : 45,162.54 = 9,330.24 : x
  2. Step 2: Convert to fraction form
    30,106.74/45,162.54 = 9,330.24/x
  3. Step 3: Cross multiply
    30,106.74x = 45,162.54 × 9,330.24
  4. Step 4: Simplify right side
    30,106.74x = 421,377,337.21
  5. Step 5: Solve for x
    x = 421,377,337.21/30,106.74
  6. Step 6: Final answer
    x = 13,996.11

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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.