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Finding the Fourth Proportional to 36,077.64, 49,785.68 and 20,970.20

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Solution

The fourth proportional to 36,077.64, 49,785.68 and 20,970.20 is: 28,938.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,077.64 : 49,785.68 = 20,970.20 : x
  2. Step 2: Convert to fraction form
    36,077.64/49,785.68 = 20,970.20/x
  3. Step 3: Cross multiply
    36,077.64x = 49,785.68 × 20,970.20
  4. Step 4: Simplify right side
    36,077.64x = 1,044,015,312.96
  5. Step 5: Solve for x
    x = 1,044,015,312.96/36,077.64
  6. Step 6: Final answer
    x = 28,938.02

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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.