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Finding the Fourth Proportional to 30,056.76, 45,087.72 and 7,870.14

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Solution

The fourth proportional to 30,056.76, 45,087.72 and 7,870.14 is: 11,805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,056.76 : 45,087.72 = 7,870.14 : x
  2. Step 2: Convert to fraction form
    30,056.76/45,087.72 = 7,870.14/x
  3. Step 3: Cross multiply
    30,056.76x = 45,087.72 × 7,870.14
  4. Step 4: Simplify right side
    30,056.76x = 354,846,668.68
  5. Step 5: Solve for x
    x = 354,846,668.68/30,056.76
  6. Step 6: Final answer
    x = 11,805.89

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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.