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Finding the Fourth Proportional to 30,878.42, 46,320.36 and 8,691.99

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Solution

The fourth proportional to 30,878.42, 46,320.36 and 8,691.99 is: 13,038.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.42 : 46,320.36 = 8,691.99 : x
  2. Step 2: Convert to fraction form
    30,878.42/46,320.36 = 8,691.99/x
  3. Step 3: Cross multiply
    30,878.42x = 46,320.36 × 8,691.99
  4. Step 4: Simplify right side
    30,878.42x = 402,616,105.92
  5. Step 5: Solve for x
    x = 402,616,105.92/30,878.42
  6. Step 6: Final answer
    x = 13,038.76

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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.