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Finding the Fourth Proportional to 30,965.98, 42,750.76 and 20,386.37

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Solution

The fourth proportional to 30,965.98, 42,750.76 and 20,386.37 is: 28,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,965.98 : 42,750.76 = 20,386.37 : x
  2. Step 2: Convert to fraction form
    30,965.98/42,750.76 = 20,386.37/x
  3. Step 3: Cross multiply
    30,965.98x = 42,750.76 × 20,386.37
  4. Step 4: Simplify right side
    30,965.98x = 871,532,495.46
  5. Step 5: Solve for x
    x = 871,532,495.46/30,965.98
  6. Step 6: Final answer
    x = 28,144.84

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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.