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Finding the Fourth Proportional to 106,652.16, 160,024.95 and 50,532.32

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Solution

The fourth proportional to 106,652.16, 160,024.95 and 50,532.32 is: 75,820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,652.16 : 160,024.95 = 50,532.32 : x
  2. Step 2: Convert to fraction form
    106,652.16/160,024.95 = 50,532.32/x
  3. Step 3: Cross multiply
    106,652.16x = 160,024.95 × 50,532.32
  4. Step 4: Simplify right side
    106,652.16x = 8,086,432,381.45
  5. Step 5: Solve for x
    x = 8,086,432,381.45/106,652.16
  6. Step 6: Final answer
    x = 75,820.62

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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.