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Finding the Fourth Proportional to 35,695.96, 49,260.72 and 19,780.68

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Solution

The fourth proportional to 35,695.96, 49,260.72 and 19,780.68 is: 27,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,695.96 : 49,260.72 = 19,780.68 : x
  2. Step 2: Convert to fraction form
    35,695.96/49,260.72 = 19,780.68/x
  3. Step 3: Cross multiply
    35,695.96x = 49,260.72 × 19,780.68
  4. Step 4: Simplify right side
    35,695.96x = 974,410,354.16
  5. Step 5: Solve for x
    x = 974,410,354.16/35,695.96
  6. Step 6: Final answer
    x = 27,297.50

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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.