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Finding the Fourth Proportional to 30,224.36, 45,336.48 and 8,037.74

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Solution

The fourth proportional to 30,224.36, 45,336.48 and 8,037.74 is: 12,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,224.36 : 45,336.48 = 8,037.74 : x
  2. Step 2: Convert to fraction form
    30,224.36/45,336.48 = 8,037.74/x
  3. Step 3: Cross multiply
    30,224.36x = 45,336.48 × 8,037.74
  4. Step 4: Simplify right side
    30,224.36x = 364,402,838.76
  5. Step 5: Solve for x
    x = 364,402,838.76/30,224.36
  6. Step 6: Final answer
    x = 12,056.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.