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Finding the Fourth Proportional to 31,604.63, 43,610.54 and 17,457.57

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Solution

The fourth proportional to 31,604.63, 43,610.54 and 17,457.57 is: 24,089.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604.63 : 43,610.54 = 17,457.57 : x
  2. Step 2: Convert to fraction form
    31,604.63/43,610.54 = 17,457.57/x
  3. Step 3: Cross multiply
    31,604.63x = 43,610.54 × 17,457.57
  4. Step 4: Simplify right side
    31,604.63x = 761,333,967.50
  5. Step 5: Solve for x
    x = 761,333,967.50/31,604.63
  6. Step 6: Final answer
    x = 24,089.32

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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.