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Finding the Fourth Proportional to 30,780.80, 46,170.88 and 9,720.64

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Solution

The fourth proportional to 30,780.80, 46,170.88 and 9,720.64 is: 14,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780.80 : 46,170.88 = 9,720.64 : x
  2. Step 2: Convert to fraction form
    30,780.80/46,170.88 = 9,720.64/x
  3. Step 3: Cross multiply
    30,780.80x = 46,170.88 × 9,720.64
  4. Step 4: Simplify right side
    30,780.80x = 448,810,502.96
  5. Step 5: Solve for x
    x = 448,810,502.96/30,780.80
  6. Step 6: Final answer
    x = 14,580.86

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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.