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Finding the Fourth Proportional to 30,785.05, 46,177.58 and 7,411.49

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Solution

The fourth proportional to 30,785.05, 46,177.58 and 7,411.49 is: 11,117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785.05 : 46,177.58 = 7,411.49 : x
  2. Step 2: Convert to fraction form
    30,785.05/46,177.58 = 7,411.49/x
  3. Step 3: Cross multiply
    30,785.05x = 46,177.58 × 7,411.49
  4. Step 4: Simplify right side
    30,785.05x = 342,244,404.45
  5. Step 5: Solve for x
    x = 342,244,404.45/30,785.05
  6. Step 6: Final answer
    x = 11,117.23

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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.