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Finding the Fourth Proportional to 31,303, 46,954.45 and 7,931.26

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Solution

The fourth proportional to 31,303, 46,954.45 and 7,931.26 is: 11,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,303 : 46,954.45 = 7,931.26 : x
  2. Step 2: Convert to fraction form
    31,303/46,954.45 = 7,931.26/x
  3. Step 3: Cross multiply
    31,303x = 46,954.45 × 7,931.26
  4. Step 4: Simplify right side
    31,303x = 372,407,951.11
  5. Step 5: Solve for x
    x = 372,407,951.11/31,303
  6. Step 6: Final answer
    x = 11,896.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.