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Finding the Fourth Proportional to 92,054.79, 138,082.32 and 28,013.49

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Solution

The fourth proportional to 92,054.79, 138,082.32 and 28,013.49 is: 42,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,054.79 : 138,082.32 = 28,013.49 : x
  2. Step 2: Convert to fraction form
    92,054.79/138,082.32 = 28,013.49/x
  3. Step 3: Cross multiply
    92,054.79x = 138,082.32 × 28,013.49
  4. Step 4: Simplify right side
    92,054.79x = 3,868,167,690.50
  5. Step 5: Solve for x
    x = 3,868,167,690.50/92,054.79
  6. Step 6: Final answer
    x = 42,020.28

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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.