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Finding the Fourth Proportional to 31,505.28, 43,477.29 and 17,358

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Solution

The fourth proportional to 31,505.28, 43,477.29 and 17,358 is: 23,954.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,505.28 : 43,477.29 = 17,358 : x
  2. Step 2: Convert to fraction form
    31,505.28/43,477.29 = 17,358/x
  3. Step 3: Cross multiply
    31,505.28x = 43,477.29 × 17,358
  4. Step 4: Simplify right side
    31,505.28x = 754,678,799.82
  5. Step 5: Solve for x
    x = 754,678,799.82/31,505.28
  6. Step 6: Final answer
    x = 23,954.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.