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Finding the Fourth Proportional to 30,386.65, 45,579.97 and 8,200.02

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Solution

The fourth proportional to 30,386.65, 45,579.97 and 8,200.02 is: 12,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,386.65 : 45,579.97 = 8,200.02 : x
  2. Step 2: Convert to fraction form
    30,386.65/45,579.97 = 8,200.02/x
  3. Step 3: Cross multiply
    30,386.65x = 45,579.97 × 8,200.02
  4. Step 4: Simplify right side
    30,386.65x = 373,756,846.77
  5. Step 5: Solve for x
    x = 373,756,846.77/30,386.65
  6. Step 6: Final answer
    x = 12,300.04

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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.