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Finding the Fourth Proportional to 31,314.60, 46,970.28 and 7,941.24

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Solution

The fourth proportional to 31,314.60, 46,970.28 and 7,941.24 is: 11,911.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,314.60 : 46,970.28 = 7,941.24 : x
  2. Step 2: Convert to fraction form
    31,314.60/46,970.28 = 7,941.24/x
  3. Step 3: Cross multiply
    31,314.60x = 46,970.28 × 7,941.24
  4. Step 4: Simplify right side
    31,314.60x = 373,002,266.35
  5. Step 5: Solve for x
    x = 373,002,266.35/31,314.60
  6. Step 6: Final answer
    x = 11,911.45

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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.