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Finding the Fourth Proportional to 35,697.88, 49,263.06 and 19,782.28

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Solution

The fourth proportional to 35,697.88, 49,263.06 and 19,782.28 is: 27,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,697.88 : 49,263.06 = 19,782.28 : x
  2. Step 2: Convert to fraction form
    35,697.88/49,263.06 = 19,782.28/x
  3. Step 3: Cross multiply
    35,697.88x = 49,263.06 × 19,782.28
  4. Step 4: Simplify right side
    35,697.88x = 974,535,646.58
  5. Step 5: Solve for x
    x = 974,535,646.58/35,697.88
  6. Step 6: Final answer
    x = 27,299.54

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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.