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Finding the Fourth Proportional to 30,802.69, 46,209.73 and 9,748.03

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Solution

The fourth proportional to 30,802.69, 46,209.73 and 9,748.03 is: 14,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.69 : 46,209.73 = 9,748.03 : x
  2. Step 2: Convert to fraction form
    30,802.69/46,209.73 = 9,748.03/x
  3. Step 3: Cross multiply
    30,802.69x = 46,209.73 × 9,748.03
  4. Step 4: Simplify right side
    30,802.69x = 450,453,603.28
  5. Step 5: Solve for x
    x = 450,453,603.28/30,802.69
  6. Step 6: Final answer
    x = 14,623.84

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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.