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Finding the Fourth Proportional to 53,483.16, 73,819.14 and 35,578.92

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Solution

The fourth proportional to 53,483.16, 73,819.14 and 35,578.92 is: 49,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,483.16 : 73,819.14 = 35,578.92 : x
  2. Step 2: Convert to fraction form
    53,483.16/73,819.14 = 35,578.92/x
  3. Step 3: Cross multiply
    53,483.16x = 73,819.14 × 35,578.92
  4. Step 4: Simplify right side
    53,483.16x = 2,626,405,276.53
  5. Step 5: Solve for x
    x = 2,626,405,276.53/53,483.16
  6. Step 6: Final answer
    x = 49,107.14

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Why These Related Problems?

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