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Finding the Fourth Proportional to 30,951.47, 46,428.12 and 7,577.91

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Solution

The fourth proportional to 30,951.47, 46,428.12 and 7,577.91 is: 11,367.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,951.47 : 46,428.12 = 7,577.91 : x
  2. Step 2: Convert to fraction form
    30,951.47/46,428.12 = 7,577.91/x
  3. Step 3: Cross multiply
    30,951.47x = 46,428.12 × 7,577.91
  4. Step 4: Simplify right side
    30,951.47x = 351,828,114.83
  5. Step 5: Solve for x
    x = 351,828,114.83/30,951.47
  6. Step 6: Final answer
    x = 11,367.09

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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.