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Finding the Fourth Proportional to 30,779.40, 46,169.10 and 10,002.90

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Solution

The fourth proportional to 30,779.40, 46,169.10 and 10,002.90 is: 15,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,779.40 : 46,169.10 = 10,002.90 : x
  2. Step 2: Convert to fraction form
    30,779.40/46,169.10 = 10,002.90/x
  3. Step 3: Cross multiply
    30,779.40x = 46,169.10 × 10,002.90
  4. Step 4: Simplify right side
    30,779.40x = 461,824,890.39
  5. Step 5: Solve for x
    x = 461,824,890.39/30,779.40
  6. Step 6: Final answer
    x = 15,004.35

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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.