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Finding the Fourth Proportional to 31,038.84, 42,834.50 and 16,892.60

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Solution

The fourth proportional to 31,038.84, 42,834.50 and 16,892.60 is: 23,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,038.84 : 42,834.50 = 16,892.60 : x
  2. Step 2: Convert to fraction form
    31,038.84/42,834.50 = 16,892.60/x
  3. Step 3: Cross multiply
    31,038.84x = 42,834.50 × 16,892.60
  4. Step 4: Simplify right side
    31,038.84x = 723,586,074.70
  5. Step 5: Solve for x
    x = 723,586,074.70/31,038.84
  6. Step 6: Final answer
    x = 23,312.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.