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Finding the Fourth Proportional to 57,636, 79,537.76 and 31,140

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Solution

The fourth proportional to 57,636, 79,537.76 and 31,140 is: 42,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,636 : 79,537.76 = 31,140 : x
  2. Step 2: Convert to fraction form
    57,636/79,537.76 = 31,140/x
  3. Step 3: Cross multiply
    57,636x = 79,537.76 × 31,140
  4. Step 4: Simplify right side
    57,636x = 2,476,805,846.40
  5. Step 5: Solve for x
    x = 2,476,805,846.40/57,636
  6. Step 6: Final answer
    x = 42,973.24

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