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Finding the Fourth Proportional to 31,027.19, 46,533.76 and 8,840.07

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Solution

The fourth proportional to 31,027.19, 46,533.76 and 8,840.07 is: 13,258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,027.19 : 46,533.76 = 8,840.07 : x
  2. Step 2: Convert to fraction form
    31,027.19/46,533.76 = 8,840.07/x
  3. Step 3: Cross multiply
    31,027.19x = 46,533.76 × 8,840.07
  4. Step 4: Simplify right side
    31,027.19x = 411,361,673.66
  5. Step 5: Solve for x
    x = 411,361,673.66/31,027.19
  6. Step 6: Final answer
    x = 13,258.10

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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.