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Finding the Fourth Proportional to 30,877.67, 46,316.19 and 8,691.05

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Solution

The fourth proportional to 30,877.67, 46,316.19 and 8,691.05 is: 13,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877.67 : 46,316.19 = 8,691.05 : x
  2. Step 2: Convert to fraction form
    30,877.67/46,316.19 = 8,691.05/x
  3. Step 3: Cross multiply
    30,877.67x = 46,316.19 × 8,691.05
  4. Step 4: Simplify right side
    30,877.67x = 402,536,323.10
  5. Step 5: Solve for x
    x = 402,536,323.10/30,877.67
  6. Step 6: Final answer
    x = 13,036.49

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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.