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Finding the Fourth Proportional to 77,224.80, 106,582.32 and 55,996.32

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Solution

The fourth proportional to 77,224.80, 106,582.32 and 55,996.32 is: 77,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,224.80 : 106,582.32 = 55,996.32 : x
  2. Step 2: Convert to fraction form
    77,224.80/106,582.32 = 55,996.32/x
  3. Step 3: Cross multiply
    77,224.80x = 106,582.32 × 55,996.32
  4. Step 4: Simplify right side
    77,224.80x = 5,968,217,697.06
  5. Step 5: Solve for x
    x = 5,968,217,697.06/77,224.80
  6. Step 6: Final answer
    x = 77,283.69

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1.5x scale

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.