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Finding the Fourth Proportional to 52,176, 72,002.88 and 29,820.48

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Solution

The fourth proportional to 52,176, 72,002.88 and 29,820.48 is: 41,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,176 : 72,002.88 = 29,820.48 : x
  2. Step 2: Convert to fraction form
    52,176/72,002.88 = 29,820.48/x
  3. Step 3: Cross multiply
    52,176x = 72,002.88 × 29,820.48
  4. Step 4: Simplify right side
    52,176x = 2,147,160,442.98
  5. Step 5: Solve for x
    x = 2,147,160,442.98/52,176
  6. Step 6: Final answer
    x = 41,152.26

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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.