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Finding the Fourth Proportional to 30,666.30, 45,934.65 and 30,666.30

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Solution

The fourth proportional to 30,666.30, 45,934.65 and 30,666.30 is: 45,934.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,666.30 : 45,934.65 = 30,666.30 : x
  2. Step 2: Convert to fraction form
    30,666.30/45,934.65 = 30,666.30/x
  3. Step 3: Cross multiply
    30,666.30x = 45,934.65 × 30,666.30
  4. Step 4: Simplify right side
    30,666.30x = 1,408,645,757.30
  5. Step 5: Solve for x
    x = 1,408,645,757.30/30,666.30
  6. Step 6: Final answer
    x = 45,934.65

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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.