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Finding the Fourth Proportional to 31,505.10, 43,477 and 17,357.94

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Solution

The fourth proportional to 31,505.10, 43,477 and 17,357.94 is: 23,953.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,505.10 : 43,477 = 17,357.94 : x
  2. Step 2: Convert to fraction form
    31,505.10/43,477 = 17,357.94/x
  3. Step 3: Cross multiply
    31,505.10x = 43,477 × 17,357.94
  4. Step 4: Simplify right side
    31,505.10x = 754,671,157.38
  5. Step 5: Solve for x
    x = 754,671,157.38/31,505.10
  6. Step 6: Final answer
    x = 23,953.94

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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.