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Finding the Fourth Proportional to 49,776.77, 74,675.95 and 14,719.25

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Solution

The fourth proportional to 49,776.77, 74,675.95 and 14,719.25 is: 22,082.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,776.77 : 74,675.95 = 14,719.25 : x
  2. Step 2: Convert to fraction form
    49,776.77/74,675.95 = 14,719.25/x
  3. Step 3: Cross multiply
    49,776.77x = 74,675.95 × 14,719.25
  4. Step 4: Simplify right side
    49,776.77x = 1,099,173,977.04
  5. Step 5: Solve for x
    x = 1,099,173,977.04/49,776.77
  6. Step 6: Final answer
    x = 22,082.07

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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.