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Finding the Fourth Proportional to 30,943.84, 42,681.36 and 19,760.80

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Solution

The fourth proportional to 30,943.84, 42,681.36 and 19,760.80 is: 27,256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,943.84 : 42,681.36 = 19,760.80 : x
  2. Step 2: Convert to fraction form
    30,943.84/42,681.36 = 19,760.80/x
  3. Step 3: Cross multiply
    30,943.84x = 42,681.36 × 19,760.80
  4. Step 4: Simplify right side
    30,943.84x = 843,417,818.69
  5. Step 5: Solve for x
    x = 843,417,818.69/30,943.84
  6. Step 6: Final answer
    x = 27,256.40

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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.