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Finding the Fourth Proportional to 49,637, 74,455.50 and 12,701

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Solution

The fourth proportional to 49,637, 74,455.50 and 12,701 is: 19,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,637 : 74,455.50 = 12,701 : x
  2. Step 2: Convert to fraction form
    49,637/74,455.50 = 12,701/x
  3. Step 3: Cross multiply
    49,637x = 74,455.50 × 12,701
  4. Step 4: Simplify right side
    49,637x = 945,659,305.50
  5. Step 5: Solve for x
    x = 945,659,305.50/49,637
  6. Step 6: Final answer
    x = 19,051.50

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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.