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Finding the Fourth Proportional to 30,047.67, 45,098.73 and 16,019.46

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Solution

The fourth proportional to 30,047.67, 45,098.73 and 16,019.46 is: 24,043.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,047.67 : 45,098.73 = 16,019.46 : x
  2. Step 2: Convert to fraction form
    30,047.67/45,098.73 = 16,019.46/x
  3. Step 3: Cross multiply
    30,047.67x = 45,098.73 × 16,019.46
  4. Step 4: Simplify right side
    30,047.67x = 722,457,301.29
  5. Step 5: Solve for x
    x = 722,457,301.29/30,047.67
  6. Step 6: Final answer
    x = 24,043.70

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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.