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Finding the Fourth Proportional to 42,920.88, 59,226.84 and 24,054

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Solution

The fourth proportional to 42,920.88, 59,226.84 and 24,054 is: 33,192.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,920.88 : 59,226.84 = 24,054 : x
  2. Step 2: Convert to fraction form
    42,920.88/59,226.84 = 24,054/x
  3. Step 3: Cross multiply
    42,920.88x = 59,226.84 × 24,054
  4. Step 4: Simplify right side
    42,920.88x = 1,424,642,409.36
  5. Step 5: Solve for x
    x = 1,424,642,409.36/42,920.88
  6. Step 6: Final answer
    x = 33,192.29

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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.