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Finding the Fourth Proportional to 42,320, 58,401.60 and 23,460

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Solution

The fourth proportional to 42,320, 58,401.60 and 23,460 is: 32,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,320 : 58,401.60 = 23,460 : x
  2. Step 2: Convert to fraction form
    42,320/58,401.60 = 23,460/x
  3. Step 3: Cross multiply
    42,320x = 58,401.60 × 23,460
  4. Step 4: Simplify right side
    42,320x = 1,370,101,536
  5. Step 5: Solve for x
    x = 1,370,101,536/42,320
  6. Step 6: Final answer
    x = 32,374.80

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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.