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Finding the Fourth Proportional to 57,689.01, 86,482.08 and 31,049.31

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Solution

The fourth proportional to 57,689.01, 86,482.08 and 31,049.31 is: 46,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,689.01 : 86,482.08 = 31,049.31 : x
  2. Step 2: Convert to fraction form
    57,689.01/86,482.08 = 31,049.31/x
  3. Step 3: Cross multiply
    57,689.01x = 86,482.08 × 31,049.31
  4. Step 4: Simplify right side
    57,689.01x = 2,685,208,911.36
  5. Step 5: Solve for x
    x = 2,685,208,911.36/57,689.01
  6. Step 6: Final answer
    x = 46,546.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.