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Finding the Fourth Proportional to 31,283.84, 46,886.40 and 22,352.64

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Solution

The fourth proportional to 31,283.84, 46,886.40 and 22,352.64 is: 33,500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,283.84 : 46,886.40 = 22,352.64 : x
  2. Step 2: Convert to fraction form
    31,283.84/46,886.40 = 22,352.64/x
  3. Step 3: Cross multiply
    31,283.84x = 46,886.40 × 22,352.64
  4. Step 4: Simplify right side
    31,283.84x = 1,048,034,820.10
  5. Step 5: Solve for x
    x = 1,048,034,820.10/31,283.84
  6. Step 6: Final answer
    x = 33,500.84

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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.