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Finding the Fourth Proportional to 42,364.80, 58,466.88 and 23,508

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Solution

The fourth proportional to 42,364.80, 58,466.88 and 23,508 is: 32,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,364.80 : 58,466.88 = 23,508 : x
  2. Step 2: Convert to fraction form
    42,364.80/58,466.88 = 23,508/x
  3. Step 3: Cross multiply
    42,364.80x = 58,466.88 × 23,508
  4. Step 4: Simplify right side
    42,364.80x = 1,374,439,415.04
  5. Step 5: Solve for x
    x = 1,374,439,415.04/42,364.80
  6. Step 6: Final answer
    x = 32,442.96

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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.