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Finding the Fourth Proportional to 47,302.70, 65,278.16 and 26,082.72

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Solution

The fourth proportional to 47,302.70, 65,278.16 and 26,082.72 is: 35,994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,302.70 : 65,278.16 = 26,082.72 : x
  2. Step 2: Convert to fraction form
    47,302.70/65,278.16 = 26,082.72/x
  3. Step 3: Cross multiply
    47,302.70x = 65,278.16 × 26,082.72
  4. Step 4: Simplify right side
    47,302.70x = 1,702,631,969.40
  5. Step 5: Solve for x
    x = 1,702,631,969.40/47,302.70
  6. Step 6: Final answer
    x = 35,994.39

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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.