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Finding the Fourth Proportional to 31,258.08, 46,888.74 and 7,884.72

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Solution

The fourth proportional to 31,258.08, 46,888.74 and 7,884.72 is: 11,827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,258.08 : 46,888.74 = 7,884.72 : x
  2. Step 2: Convert to fraction form
    31,258.08/46,888.74 = 7,884.72/x
  3. Step 3: Cross multiply
    31,258.08x = 46,888.74 × 7,884.72
  4. Step 4: Simplify right side
    31,258.08x = 369,704,586.05
  5. Step 5: Solve for x
    x = 369,704,586.05/31,258.08
  6. Step 6: Final answer
    x = 11,827.49

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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.