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Finding the Fourth Proportional to 30,716.50, 42,357.45 and 28,930.90

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Solution

The fourth proportional to 30,716.50, 42,357.45 and 28,930.90 is: 39,895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,716.50 : 42,357.45 = 28,930.90 : x
  2. Step 2: Convert to fraction form
    30,716.50/42,357.45 = 28,930.90/x
  3. Step 3: Cross multiply
    30,716.50x = 42,357.45 × 28,930.90
  4. Step 4: Simplify right side
    30,716.50x = 1,225,439,150.21
  5. Step 5: Solve for x
    x = 1,225,439,150.21/30,716.50
  6. Step 6: Final answer
    x = 39,895.14

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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.