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Finding the Fourth Proportional to 21,065.92, 31,598.79 and 5,483.50

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Solution

The fourth proportional to 21,065.92, 31,598.79 and 5,483.50 is: 8,225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,065.92 : 31,598.79 = 5,483.50 : x
  2. Step 2: Convert to fraction form
    21,065.92/31,598.79 = 5,483.50/x
  3. Step 3: Cross multiply
    21,065.92x = 31,598.79 × 5,483.50
  4. Step 4: Simplify right side
    21,065.92x = 173,271,964.97
  5. Step 5: Solve for x
    x = 173,271,964.97/21,065.92
  6. Step 6: Final answer
    x = 8,225.23

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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.