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Finding the Fourth Proportional to 31,045.38, 46,567.61 and 7,671.81

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Solution

The fourth proportional to 31,045.38, 46,567.61 and 7,671.81 is: 11,507.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,045.38 : 46,567.61 = 7,671.81 : x
  2. Step 2: Convert to fraction form
    31,045.38/46,567.61 = 7,671.81/x
  3. Step 3: Cross multiply
    31,045.38x = 46,567.61 × 7,671.81
  4. Step 4: Simplify right side
    31,045.38x = 357,258,021.11
  5. Step 5: Solve for x
    x = 357,258,021.11/31,045.38
  6. Step 6: Final answer
    x = 11,507.61

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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.