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Finding the Fourth Proportional to 30,885.68, 46,328.06 and 9,827

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Solution

The fourth proportional to 30,885.68, 46,328.06 and 9,827 is: 14,740.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,885.68 : 46,328.06 = 9,827 : x
  2. Step 2: Convert to fraction form
    30,885.68/46,328.06 = 9,827/x
  3. Step 3: Cross multiply
    30,885.68x = 46,328.06 × 9,827
  4. Step 4: Simplify right side
    30,885.68x = 455,265,845.62
  5. Step 5: Solve for x
    x = 455,265,845.62/30,885.68
  6. Step 6: Final answer
    x = 14,740.35

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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.