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Finding the Fourth Proportional to 30,836.70, 42,427.80 and 28,868.40

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Solution

The fourth proportional to 30,836.70, 42,427.80 and 28,868.40 is: 39,719.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,836.70 : 42,427.80 = 28,868.40 : x
  2. Step 2: Convert to fraction form
    30,836.70/42,427.80 = 28,868.40/x
  3. Step 3: Cross multiply
    30,836.70x = 42,427.80 × 28,868.40
  4. Step 4: Simplify right side
    30,836.70x = 1,224,822,701.52
  5. Step 5: Solve for x
    x = 1,224,822,701.52/30,836.70
  6. Step 6: Final answer
    x = 39,719.64

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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.