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Finding the Fourth Proportional to 36,038.64, 49,733.16 and 20,123.04

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Solution

The fourth proportional to 36,038.64, 49,733.16 and 20,123.04 is: 27,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,038.64 : 49,733.16 = 20,123.04 : x
  2. Step 2: Convert to fraction form
    36,038.64/49,733.16 = 20,123.04/x
  3. Step 3: Cross multiply
    36,038.64x = 49,733.16 × 20,123.04
  4. Step 4: Simplify right side
    36,038.64x = 1,000,782,368.01
  5. Step 5: Solve for x
    x = 1,000,782,368.01/36,038.64
  6. Step 6: Final answer
    x = 27,769.70

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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.