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Finding the Fourth Proportional to 30,776.93, 46,170.33 and 13,007.77

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Solution

The fourth proportional to 30,776.93, 46,170.33 and 13,007.77 is: 19,513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776.93 : 46,170.33 = 13,007.77 : x
  2. Step 2: Convert to fraction form
    30,776.93/46,170.33 = 13,007.77/x
  3. Step 3: Cross multiply
    30,776.93x = 46,170.33 × 13,007.77
  4. Step 4: Simplify right side
    30,776.93x = 600,572,918.04
  5. Step 5: Solve for x
    x = 600,572,918.04/30,776.93
  6. Step 6: Final answer
    x = 19,513.74

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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.