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Finding the Fourth Proportional to 31,110, 42,938.50 and 18,358.44

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Solution

The fourth proportional to 31,110, 42,938.50 and 18,358.44 is: 25,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,110 : 42,938.50 = 18,358.44 : x
  2. Step 2: Convert to fraction form
    31,110/42,938.50 = 18,358.44/x
  3. Step 3: Cross multiply
    31,110x = 42,938.50 × 18,358.44
  4. Step 4: Simplify right side
    31,110x = 788,283,875.94
  5. Step 5: Solve for x
    x = 788,283,875.94/31,110
  6. Step 6: Final answer
    x = 25,338.60

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Why These Related Problems?

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