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Finding the Fourth Proportional to 77,752.80, 116,629.20 and 35,632.80

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Solution

The fourth proportional to 77,752.80, 116,629.20 and 35,632.80 is: 53,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,752.80 : 116,629.20 = 35,632.80 : x
  2. Step 2: Convert to fraction form
    77,752.80/116,629.20 = 35,632.80/x
  3. Step 3: Cross multiply
    77,752.80x = 116,629.20 × 35,632.80
  4. Step 4: Simplify right side
    77,752.80x = 4,155,824,957.76
  5. Step 5: Solve for x
    x = 4,155,824,957.76/77,752.80
  6. Step 6: Final answer
    x = 53,449.20

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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.