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Finding the Fourth Proportional to 29,275.66, 43,913.60 and 7,089

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Solution

The fourth proportional to 29,275.66, 43,913.60 and 7,089 is: 10,633.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,275.66 : 43,913.60 = 7,089 : x
  2. Step 2: Convert to fraction form
    29,275.66/43,913.60 = 7,089/x
  3. Step 3: Cross multiply
    29,275.66x = 43,913.60 × 7,089
  4. Step 4: Simplify right side
    29,275.66x = 311,303,510.40
  5. Step 5: Solve for x
    x = 311,303,510.40/29,275.66
  6. Step 6: Final answer
    x = 10,633.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.