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Finding the Fourth Proportional to 49,893.16, 68,852.42 and 27,537

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Solution

The fourth proportional to 49,893.16, 68,852.42 and 27,537 is: 38,000.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,893.16 : 68,852.42 = 27,537 : x
  2. Step 2: Convert to fraction form
    49,893.16/68,852.42 = 27,537/x
  3. Step 3: Cross multiply
    49,893.16x = 68,852.42 × 27,537
  4. Step 4: Simplify right side
    49,893.16x = 1,895,989,089.54
  5. Step 5: Solve for x
    x = 1,895,989,089.54/49,893.16
  6. Step 6: Final answer
    x = 38,000.98

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1.5x scale

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.