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Finding the Fourth Proportional to 42,310.80, 58,392.36 and 23,454

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Solution

The fourth proportional to 42,310.80, 58,392.36 and 23,454 is: 32,368.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,310.80 : 58,392.36 = 23,454 : x
  2. Step 2: Convert to fraction form
    42,310.80/58,392.36 = 23,454/x
  3. Step 3: Cross multiply
    42,310.80x = 58,392.36 × 23,454
  4. Step 4: Simplify right side
    42,310.80x = 1,369,534,411.44
  5. Step 5: Solve for x
    x = 1,369,534,411.44/42,310.80
  6. Step 6: Final answer
    x = 32,368.44

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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.