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Finding the Fourth Proportional to 35,894.64, 49,536.36 and 21,748.80

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Solution

The fourth proportional to 35,894.64, 49,536.36 and 21,748.80 is: 30,014.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,894.64 : 49,536.36 = 21,748.80 : x
  2. Step 2: Convert to fraction form
    35,894.64/49,536.36 = 21,748.80/x
  3. Step 3: Cross multiply
    35,894.64x = 49,536.36 × 21,748.80
  4. Step 4: Simplify right side
    35,894.64x = 1,077,356,386.37
  5. Step 5: Solve for x
    x = 1,077,356,386.37/35,894.64
  6. Step 6: Final answer
    x = 30,014.41

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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.