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Finding the Fourth Proportional to 35,897.00, 49,537.01 and 19,982.93

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Solution

The fourth proportional to 35,897.00, 49,537.01 and 19,982.93 is: 27,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,897.00 : 49,537.01 = 19,982.93 : x
  2. Step 2: Convert to fraction form
    35,897.00/49,537.01 = 19,982.93/x
  3. Step 3: Cross multiply
    35,897.00x = 49,537.01 × 19,982.93
  4. Step 4: Simplify right side
    35,897.00x = 989,894,405.51
  5. Step 5: Solve for x
    x = 989,894,405.51/35,897.00
  6. Step 6: Final answer
    x = 27,575.97

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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.