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Finding the Fourth Proportional to 29,357.38, 40,513.18 and 16,782.40

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Solution

The fourth proportional to 29,357.38, 40,513.18 and 16,782.40 is: 23,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,357.38 : 40,513.18 = 16,782.40 : x
  2. Step 2: Convert to fraction form
    29,357.38/40,513.18 = 16,782.40/x
  3. Step 3: Cross multiply
    29,357.38x = 40,513.18 × 16,782.40
  4. Step 4: Simplify right side
    29,357.38x = 679,908,189.47
  5. Step 5: Solve for x
    x = 679,908,189.47/29,357.38
  6. Step 6: Final answer
    x = 23,159.71

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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.