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Finding the Fourth Proportional to 30,675.84, 42,301.50 and 28,889.94

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Solution

The fourth proportional to 30,675.84, 42,301.50 and 28,889.94 is: 39,838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,675.84 : 42,301.50 = 28,889.94 : x
  2. Step 2: Convert to fraction form
    30,675.84/42,301.50 = 28,889.94/x
  3. Step 3: Cross multiply
    30,675.84x = 42,301.50 × 28,889.94
  4. Step 4: Simplify right side
    30,675.84x = 1,222,087,796.91
  5. Step 5: Solve for x
    x = 1,222,087,796.91/30,675.84
  6. Step 6: Final answer
    x = 39,838.77

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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.