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Finding the Fourth Proportional to 38,045.67, 57,084.84 and 14,688.51

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Solution

The fourth proportional to 38,045.67, 57,084.84 and 14,688.51 is: 22,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,045.67 : 57,084.84 = 14,688.51 : x
  2. Step 2: Convert to fraction form
    38,045.67/57,084.84 = 14,688.51/x
  3. Step 3: Cross multiply
    38,045.67x = 57,084.84 × 14,688.51
  4. Step 4: Simplify right side
    38,045.67x = 838,491,243.19
  5. Step 5: Solve for x
    x = 838,491,243.19/38,045.67
  6. Step 6: Final answer
    x = 22,039.07

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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.