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Finding the Fourth Proportional to 30,096.34, 45,143.88 and 7,911.16

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Solution

The fourth proportional to 30,096.34, 45,143.88 and 7,911.16 is: 11,866.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,096.34 : 45,143.88 = 7,911.16 : x
  2. Step 2: Convert to fraction form
    30,096.34/45,143.88 = 7,911.16/x
  3. Step 3: Cross multiply
    30,096.34x = 45,143.88 × 7,911.16
  4. Step 4: Simplify right side
    30,096.34x = 357,140,457.70
  5. Step 5: Solve for x
    x = 357,140,457.70/30,096.34
  6. Step 6: Final answer
    x = 11,866.57

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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.