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Finding the Fourth Proportional to 37,059, 51,101.68 and 29,881.38

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Solution

The fourth proportional to 37,059, 51,101.68 and 29,881.38 is: 41,204.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,059 : 51,101.68 = 29,881.38 : x
  2. Step 2: Convert to fraction form
    37,059/51,101.68 = 29,881.38/x
  3. Step 3: Cross multiply
    37,059x = 51,101.68 × 29,881.38
  4. Step 4: Simplify right side
    37,059x = 1,526,988,718.72
  5. Step 5: Solve for x
    x = 1,526,988,718.72/37,059
  6. Step 6: Final answer
    x = 41,204.26

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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.