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Finding the Fourth Proportional to 30,476.94, 45,715.40 and 20,013.06

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Solution

The fourth proportional to 30,476.94, 45,715.40 and 20,013.06 is: 30,019.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,476.94 : 45,715.40 = 20,013.06 : x
  2. Step 2: Convert to fraction form
    30,476.94/45,715.40 = 20,013.06/x
  3. Step 3: Cross multiply
    30,476.94x = 45,715.40 × 20,013.06
  4. Step 4: Simplify right side
    30,476.94x = 914,905,043.12
  5. Step 5: Solve for x
    x = 914,905,043.12/30,476.94
  6. Step 6: Final answer
    x = 30,019.58

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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.