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Finding the Fourth Proportional to 30,415.63, 45,627.81 and 9,357.44

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Solution

The fourth proportional to 30,415.63, 45,627.81 and 9,357.44 is: 14,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,415.63 : 45,627.81 = 9,357.44 : x
  2. Step 2: Convert to fraction form
    30,415.63/45,627.81 = 9,357.44/x
  3. Step 3: Cross multiply
    30,415.63x = 45,627.81 × 9,357.44
  4. Step 4: Simplify right side
    30,415.63x = 426,959,295.34
  5. Step 5: Solve for x
    x = 426,959,295.34/30,415.63
  6. Step 6: Final answer
    x = 14,037.50

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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.