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Finding the Fourth Proportional to 31,185, 43,036.21 and 17,038.76

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Solution

The fourth proportional to 31,185, 43,036.21 and 17,038.76 is: 23,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,185 : 43,036.21 = 17,038.76 : x
  2. Step 2: Convert to fraction form
    31,185/43,036.21 = 17,038.76/x
  3. Step 3: Cross multiply
    31,185x = 43,036.21 × 17,038.76
  4. Step 4: Simplify right side
    31,185x = 733,283,459.62
  5. Step 5: Solve for x
    x = 733,283,459.62/31,185
  6. Step 6: Final answer
    x = 23,513.98

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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.