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Finding the Fourth Proportional to 49,474.67, 74,088.95 and 34,614

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Solution

The fourth proportional to 49,474.67, 74,088.95 and 34,614 is: 51,834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,474.67 : 74,088.95 = 34,614 : x
  2. Step 2: Convert to fraction form
    49,474.67/74,088.95 = 34,614/x
  3. Step 3: Cross multiply
    49,474.67x = 74,088.95 × 34,614
  4. Step 4: Simplify right side
    49,474.67x = 2,564,514,742.23
  5. Step 5: Solve for x
    x = 2,564,514,742.23/49,474.67
  6. Step 6: Final answer
    x = 51,834.91

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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.