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Finding the Fourth Proportional to 30,180.79, 45,256.00 and 10,454.05

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Solution

The fourth proportional to 30,180.79, 45,256.00 and 10,454.05 is: 15,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,180.79 : 45,256.00 = 10,454.05 : x
  2. Step 2: Convert to fraction form
    30,180.79/45,256.00 = 10,454.05/x
  3. Step 3: Cross multiply
    30,180.79x = 45,256.00 × 10,454.05
  4. Step 4: Simplify right side
    30,180.79x = 473,108,434.53
  5. Step 5: Solve for x
    x = 473,108,434.53/30,180.79
  6. Step 6: Final answer
    x = 15,675.81

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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.