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Finding the Fourth Proportional to 61,904.30, 85,428.17 and 33,609.98

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Solution

The fourth proportional to 61,904.30, 85,428.17 and 33,609.98 is: 46,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,904.30 : 85,428.17 = 33,609.98 : x
  2. Step 2: Convert to fraction form
    61,904.30/85,428.17 = 33,609.98/x
  3. Step 3: Cross multiply
    61,904.30x = 85,428.17 × 33,609.98
  4. Step 4: Simplify right side
    61,904.30x = 2,871,239,085.14
  5. Step 5: Solve for x
    x = 2,871,239,085.14/61,904.30
  6. Step 6: Final answer
    x = 46,381.90

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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.