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Finding the Fourth Proportional to 35,840.38, 49,461.00 and 19,708.93

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Solution

The fourth proportional to 35,840.38, 49,461.00 and 19,708.93 is: 27,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,840.38 : 49,461.00 = 19,708.93 : x
  2. Step 2: Convert to fraction form
    35,840.38/49,461.00 = 19,708.93/x
  3. Step 3: Cross multiply
    35,840.38x = 49,461.00 × 19,708.93
  4. Step 4: Simplify right side
    35,840.38x = 974,823,040.88
  5. Step 5: Solve for x
    x = 974,823,040.88/35,840.38
  6. Step 6: Final answer
    x = 27,199.02

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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.