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Finding the Fourth Proportional to 30,885.30, 46,327.86 and 12,430.26

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Solution

The fourth proportional to 30,885.30, 46,327.86 and 12,430.26 is: 18,645.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,885.30 : 46,327.86 = 12,430.26 : x
  2. Step 2: Convert to fraction form
    30,885.30/46,327.86 = 12,430.26/x
  3. Step 3: Cross multiply
    30,885.30x = 46,327.86 × 12,430.26
  4. Step 4: Simplify right side
    30,885.30x = 575,867,345.04
  5. Step 5: Solve for x
    x = 575,867,345.04/30,885.30
  6. Step 6: Final answer
    x = 18,645.35

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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.