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Finding the Fourth Proportional to 29,784.82, 41,101.44 and 16,357.84

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Solution

The fourth proportional to 29,784.82, 41,101.44 and 16,357.84 is: 22,572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784.82 : 41,101.44 = 16,357.84 : x
  2. Step 2: Convert to fraction form
    29,784.82/41,101.44 = 16,357.84/x
  3. Step 3: Cross multiply
    29,784.82x = 41,101.44 × 16,357.84
  4. Step 4: Simplify right side
    29,784.82x = 672,330,779.29
  5. Step 5: Solve for x
    x = 672,330,779.29/29,784.82
  6. Step 6: Final answer
    x = 22,572.93

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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.