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Finding the Fourth Proportional to 31,265.38, 43,133.88 and 19,307.76

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Solution

The fourth proportional to 31,265.38, 43,133.88 and 19,307.76 is: 26,637.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,265.38 : 43,133.88 = 19,307.76 : x
  2. Step 2: Convert to fraction form
    31,265.38/43,133.88 = 19,307.76/x
  3. Step 3: Cross multiply
    31,265.38x = 43,133.88 × 19,307.76
  4. Step 4: Simplify right side
    31,265.38x = 832,818,602.91
  5. Step 5: Solve for x
    x = 832,818,602.91/31,265.38
  6. Step 6: Final answer
    x = 26,637.09

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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.