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Finding the Fourth Proportional to 35,594.68, 49,118.22 and 19,678.98

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Solution

The fourth proportional to 35,594.68, 49,118.22 and 19,678.98 is: 27,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,594.68 : 49,118.22 = 19,678.98 : x
  2. Step 2: Convert to fraction form
    35,594.68/49,118.22 = 19,678.98/x
  3. Step 3: Cross multiply
    35,594.68x = 49,118.22 × 19,678.98
  4. Step 4: Simplify right side
    35,594.68x = 966,596,469.02
  5. Step 5: Solve for x
    x = 966,596,469.02/35,594.68
  6. Step 6: Final answer
    x = 27,155.64

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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.