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Finding the Fourth Proportional to 30,669.75, 46,002.06 and 8,483.40

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Solution

The fourth proportional to 30,669.75, 46,002.06 and 8,483.40 is: 12,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,669.75 : 46,002.06 = 8,483.40 : x
  2. Step 2: Convert to fraction form
    30,669.75/46,002.06 = 8,483.40/x
  3. Step 3: Cross multiply
    30,669.75x = 46,002.06 × 8,483.40
  4. Step 4: Simplify right side
    30,669.75x = 390,253,875.80
  5. Step 5: Solve for x
    x = 390,253,875.80/30,669.75
  6. Step 6: Final answer
    x = 12,724.39

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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.