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Finding the Fourth Proportional to 30,209.70, 45,314.55 and 30,209.70

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Solution

The fourth proportional to 30,209.70, 45,314.55 and 30,209.70 is: 45,314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,209.70 : 45,314.55 = 30,209.70 : x
  2. Step 2: Convert to fraction form
    30,209.70/45,314.55 = 30,209.70/x
  3. Step 3: Cross multiply
    30,209.70x = 45,314.55 × 30,209.70
  4. Step 4: Simplify right side
    30,209.70x = 1,368,938,961.14
  5. Step 5: Solve for x
    x = 1,368,938,961.14/30,209.70
  6. Step 6: Final answer
    x = 45,314.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.