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Finding the Fourth Proportional to 31,225.93, 46,854.27 and 14,583.54

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Solution

The fourth proportional to 31,225.93, 46,854.27 and 14,583.54 is: 21,882.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,225.93 : 46,854.27 = 14,583.54 : x
  2. Step 2: Convert to fraction form
    31,225.93/46,854.27 = 14,583.54/x
  3. Step 3: Cross multiply
    31,225.93x = 46,854.27 × 14,583.54
  4. Step 4: Simplify right side
    31,225.93x = 683,301,120.72
  5. Step 5: Solve for x
    x = 683,301,120.72/31,225.93
  6. Step 6: Final answer
    x = 21,882.49

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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.