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Finding the Fourth Proportional to 42,774.84, 59,028.30 and 23,913.72

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Solution

The fourth proportional to 42,774.84, 59,028.30 and 23,913.72 is: 33,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,774.84 : 59,028.30 = 23,913.72 : x
  2. Step 2: Convert to fraction form
    42,774.84/59,028.30 = 23,913.72/x
  3. Step 3: Cross multiply
    42,774.84x = 59,028.30 × 23,913.72
  4. Step 4: Simplify right side
    42,774.84x = 1,411,586,238.28
  5. Step 5: Solve for x
    x = 1,411,586,238.28/42,774.84
  6. Step 6: Final answer
    x = 33,000.39

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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.