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Finding the Fourth Proportional to 30,885.84, 46,328.67 and 11,164.41

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Solution

The fourth proportional to 30,885.84, 46,328.67 and 11,164.41 is: 16,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,885.84 : 46,328.67 = 11,164.41 : x
  2. Step 2: Convert to fraction form
    30,885.84/46,328.67 = 11,164.41/x
  3. Step 3: Cross multiply
    30,885.84x = 46,328.67 × 11,164.41
  4. Step 4: Simplify right side
    30,885.84x = 517,232,266.63
  5. Step 5: Solve for x
    x = 517,232,266.63/30,885.84
  6. Step 6: Final answer
    x = 16,746.58

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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.