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Finding the Fourth Proportional to 30,864.40, 46,296.60 and 8,678.50

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Solution

The fourth proportional to 30,864.40, 46,296.60 and 8,678.50 is: 13,017.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,864.40 : 46,296.60 = 8,678.50 : x
  2. Step 2: Convert to fraction form
    30,864.40/46,296.60 = 8,678.50/x
  3. Step 3: Cross multiply
    30,864.40x = 46,296.60 × 8,678.50
  4. Step 4: Simplify right side
    30,864.40x = 401,785,043.10
  5. Step 5: Solve for x
    x = 401,785,043.10/30,864.40
  6. Step 6: Final answer
    x = 13,017.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.