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Finding the Fourth Proportional to 31,582, 43,582.62 and 17,434.54

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Solution

The fourth proportional to 31,582, 43,582.62 and 17,434.54 is: 24,059.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,582 : 43,582.62 = 17,434.54 : x
  2. Step 2: Convert to fraction form
    31,582/43,582.62 = 17,434.54/x
  3. Step 3: Cross multiply
    31,582x = 43,582.62 × 17,434.54
  4. Step 4: Simplify right side
    31,582x = 759,842,931.69
  5. Step 5: Solve for x
    x = 759,842,931.69/31,582
  6. Step 6: Final answer
    x = 24,059.37

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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.