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Finding the Fourth Proportional to 30,107.40, 41,547.44 and 16,678.40

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Solution

The fourth proportional to 30,107.40, 41,547.44 and 16,678.40 is: 23,015.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,107.40 : 41,547.44 = 16,678.40 : x
  2. Step 2: Convert to fraction form
    30,107.40/41,547.44 = 16,678.40/x
  3. Step 3: Cross multiply
    30,107.40x = 41,547.44 × 16,678.40
  4. Step 4: Simplify right side
    30,107.40x = 692,944,823.30
  5. Step 5: Solve for x
    x = 692,944,823.30/30,107.40
  6. Step 6: Final answer
    x = 23,015.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.