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Finding the Fourth Proportional to 35,597.28, 49,123.50 and 19,681.38

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Solution

The fourth proportional to 35,597.28, 49,123.50 and 19,681.38 is: 27,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,597.28 : 49,123.50 = 19,681.38 : x
  2. Step 2: Convert to fraction form
    35,597.28/49,123.50 = 19,681.38/x
  3. Step 3: Cross multiply
    35,597.28x = 49,123.50 × 19,681.38
  4. Step 4: Simplify right side
    35,597.28x = 966,818,270.43
  5. Step 5: Solve for x
    x = 966,818,270.43/35,597.28
  6. Step 6: Final answer
    x = 27,159.89

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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.