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Finding the Fourth Proportional to 30,750.84, 42,438.32 and 17,139.76

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Solution

The fourth proportional to 30,750.84, 42,438.32 and 17,139.76 is: 23,654.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,750.84 : 42,438.32 = 17,139.76 : x
  2. Step 2: Convert to fraction form
    30,750.84/42,438.32 = 17,139.76/x
  3. Step 3: Cross multiply
    30,750.84x = 42,438.32 × 17,139.76
  4. Step 4: Simplify right side
    30,750.84x = 727,382,619.60
  5. Step 5: Solve for x
    x = 727,382,619.60/30,750.84
  6. Step 6: Final answer
    x = 23,654.07

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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.