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Finding the Fourth Proportional to 58,032, 87,048.96 and 25,200

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Solution

The fourth proportional to 58,032, 87,048.96 and 25,200 is: 37,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,032 : 87,048.96 = 25,200 : x
  2. Step 2: Convert to fraction form
    58,032/87,048.96 = 25,200/x
  3. Step 3: Cross multiply
    58,032x = 87,048.96 × 25,200
  4. Step 4: Simplify right side
    58,032x = 2,193,633,792
  5. Step 5: Solve for x
    x = 2,193,633,792/58,032
  6. Step 6: Final answer
    x = 37,800.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.