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Finding the Fourth Proportional to 29,316.70, 43,975.14 and 7,130.14

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Solution

The fourth proportional to 29,316.70, 43,975.14 and 7,130.14 is: 10,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,316.70 : 43,975.14 = 7,130.14 : x
  2. Step 2: Convert to fraction form
    29,316.70/43,975.14 = 7,130.14/x
  3. Step 3: Cross multiply
    29,316.70x = 43,975.14 × 7,130.14
  4. Step 4: Simplify right side
    29,316.70x = 313,548,904.72
  5. Step 5: Solve for x
    x = 313,548,904.72/29,316.70
  6. Step 6: Final answer
    x = 10,695.23

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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.