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Finding the Fourth Proportional to 30,326.50, 45,483.47 and 8,134.60

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Solution

The fourth proportional to 30,326.50, 45,483.47 and 8,134.60 is: 12,200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,326.50 : 45,483.47 = 8,134.60 : x
  2. Step 2: Convert to fraction form
    30,326.50/45,483.47 = 8,134.60/x
  3. Step 3: Cross multiply
    30,326.50x = 45,483.47 × 8,134.60
  4. Step 4: Simplify right side
    30,326.50x = 369,989,741.69
  5. Step 5: Solve for x
    x = 369,989,741.69/30,326.50
  6. Step 6: Final answer
    x = 12,200.21

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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.