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Finding the Fourth Proportional to 30,298.66, 41,810.92 and 16,869.54

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Solution

The fourth proportional to 30,298.66, 41,810.92 and 16,869.54 is: 23,279.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,298.66 : 41,810.92 = 16,869.54 : x
  2. Step 2: Convert to fraction form
    30,298.66/41,810.92 = 16,869.54/x
  3. Step 3: Cross multiply
    30,298.66x = 41,810.92 × 16,869.54
  4. Step 4: Simplify right side
    30,298.66x = 705,330,987.38
  5. Step 5: Solve for x
    x = 705,330,987.38/30,298.66
  6. Step 6: Final answer
    x = 23,279.28

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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.