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Finding the Fourth Proportional to 31,635.69, 43,656.06 and 17,488.77

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Solution

The fourth proportional to 31,635.69, 43,656.06 and 17,488.77 is: 24,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,635.69 : 43,656.06 = 17,488.77 : x
  2. Step 2: Convert to fraction form
    31,635.69/43,656.06 = 17,488.77/x
  3. Step 3: Cross multiply
    31,635.69x = 43,656.06 × 17,488.77
  4. Step 4: Simplify right side
    31,635.69x = 763,490,792.45
  5. Step 5: Solve for x
    x = 763,490,792.45/31,635.69
  6. Step 6: Final answer
    x = 24,133.84

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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.