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Finding the Fourth Proportional to 30,850.37, 46,275.70 and 9,502.83

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Solution

The fourth proportional to 30,850.37, 46,275.70 and 9,502.83 is: 14,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,850.37 : 46,275.70 = 9,502.83 : x
  2. Step 2: Convert to fraction form
    30,850.37/46,275.70 = 9,502.83/x
  3. Step 3: Cross multiply
    30,850.37x = 46,275.70 × 9,502.83
  4. Step 4: Simplify right side
    30,850.37x = 439,750,086.47
  5. Step 5: Solve for x
    x = 439,750,086.47/30,850.37
  6. Step 6: Final answer
    x = 14,254.29

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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.