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Finding the Fourth Proportional to 30,685.48, 46,030.14 and 12,217

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Solution

The fourth proportional to 30,685.48, 46,030.14 and 12,217 is: 18,326.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,685.48 : 46,030.14 = 12,217 : x
  2. Step 2: Convert to fraction form
    30,685.48/46,030.14 = 12,217/x
  3. Step 3: Cross multiply
    30,685.48x = 46,030.14 × 12,217
  4. Step 4: Simplify right side
    30,685.48x = 562,350,220.38
  5. Step 5: Solve for x
    x = 562,350,220.38/30,685.48
  6. Step 6: Final answer
    x = 18,326.26

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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.