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Finding the Fourth Proportional to 31,800.16, 43,886.51 and 17,652.90

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Solution

The fourth proportional to 31,800.16, 43,886.51 and 17,652.90 is: 24,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,800.16 : 43,886.51 = 17,652.90 : x
  2. Step 2: Convert to fraction form
    31,800.16/43,886.51 = 17,652.90/x
  3. Step 3: Cross multiply
    31,800.16x = 43,886.51 × 17,652.90
  4. Step 4: Simplify right side
    31,800.16x = 774,724,172.38
  5. Step 5: Solve for x
    x = 774,724,172.38/31,800.16
  6. Step 6: Final answer
    x = 24,362.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.