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Finding the Fourth Proportional to 35,178.64, 52,779 and 15,473.76

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Solution

The fourth proportional to 35,178.64, 52,779 and 15,473.76 is: 23,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,178.64 : 52,779 = 15,473.76 : x
  2. Step 2: Convert to fraction form
    35,178.64/52,779 = 15,473.76/x
  3. Step 3: Cross multiply
    35,178.64x = 52,779 × 15,473.76
  4. Step 4: Simplify right side
    35,178.64x = 816,689,579.04
  5. Step 5: Solve for x
    x = 816,689,579.04/35,178.64
  6. Step 6: Final answer
    x = 23,215.50

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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.