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Finding the Fourth Proportional to 30,805.29, 46,214.91 and 9,746.64

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Solution

The fourth proportional to 30,805.29, 46,214.91 and 9,746.64 is: 14,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.29 : 46,214.91 = 9,746.64 : x
  2. Step 2: Convert to fraction form
    30,805.29/46,214.91 = 9,746.64/x
  3. Step 3: Cross multiply
    30,805.29x = 46,214.91 × 9,746.64
  4. Step 4: Simplify right side
    30,805.29x = 450,440,090.40
  5. Step 5: Solve for x
    x = 450,440,090.40/30,805.29
  6. Step 6: Final answer
    x = 14,622.17

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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.