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Finding the Fourth Proportional to 49,063, 67,706.94 and 26,707

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Solution

The fourth proportional to 49,063, 67,706.94 and 26,707 is: 36,855.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,063 : 67,706.94 = 26,707 : x
  2. Step 2: Convert to fraction form
    49,063/67,706.94 = 26,707/x
  3. Step 3: Cross multiply
    49,063x = 67,706.94 × 26,707
  4. Step 4: Simplify right side
    49,063x = 1,808,249,246.58
  5. Step 5: Solve for x
    x = 1,808,249,246.58/49,063
  6. Step 6: Final answer
    x = 36,855.66

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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.