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Finding the Fourth Proportional to 30,005.40, 44,980.28 and 10,279.27

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Solution

The fourth proportional to 30,005.40, 44,980.28 and 10,279.27 is: 15,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.40 : 44,980.28 = 10,279.27 : x
  2. Step 2: Convert to fraction form
    30,005.40/44,980.28 = 10,279.27/x
  3. Step 3: Cross multiply
    30,005.40x = 44,980.28 × 10,279.27
  4. Step 4: Simplify right side
    30,005.40x = 462,364,166.50
  5. Step 5: Solve for x
    x = 462,364,166.50/30,005.40
  6. Step 6: Final answer
    x = 15,409.37

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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.