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Finding the Fourth Proportional to 31,124.44, 42,951 and 16,977.40

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Solution

The fourth proportional to 31,124.44, 42,951 and 16,977.40 is: 23,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,124.44 : 42,951 = 16,977.40 : x
  2. Step 2: Convert to fraction form
    31,124.44/42,951 = 16,977.40/x
  3. Step 3: Cross multiply
    31,124.44x = 42,951 × 16,977.40
  4. Step 4: Simplify right side
    31,124.44x = 729,196,307.40
  5. Step 5: Solve for x
    x = 729,196,307.40/31,124.44
  6. Step 6: Final answer
    x = 23,428.42

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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.