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Finding the Fourth Proportional to 57,009.38, 78,673.06 and 31,858.88

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Solution

The fourth proportional to 57,009.38, 78,673.06 and 31,858.88 is: 43,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,009.38 : 78,673.06 = 31,858.88 : x
  2. Step 2: Convert to fraction form
    57,009.38/78,673.06 = 31,858.88/x
  3. Step 3: Cross multiply
    57,009.38x = 78,673.06 × 31,858.88
  4. Step 4: Simplify right side
    57,009.38x = 2,506,435,577.77
  5. Step 5: Solve for x
    x = 2,506,435,577.77/57,009.38
  6. Step 6: Final answer
    x = 43,965.32

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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.