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Finding the Fourth Proportional to 30,465.47, 41,955.17 and 28,566.88

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Solution

The fourth proportional to 30,465.47, 41,955.17 and 28,566.88 is: 39,340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,465.47 : 41,955.17 = 28,566.88 : x
  2. Step 2: Convert to fraction form
    30,465.47/41,955.17 = 28,566.88/x
  3. Step 3: Cross multiply
    30,465.47x = 41,955.17 × 28,566.88
  4. Step 4: Simplify right side
    30,465.47x = 1,198,528,059.05
  5. Step 5: Solve for x
    x = 1,198,528,059.05/30,465.47
  6. Step 6: Final answer
    x = 39,340.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.