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Finding the Fourth Proportional to 77,005.45, 115,507.77 and 34,900.03

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Solution

The fourth proportional to 77,005.45, 115,507.77 and 34,900.03 is: 52,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,005.45 : 115,507.77 = 34,900.03 : x
  2. Step 2: Convert to fraction form
    77,005.45/115,507.77 = 34,900.03/x
  3. Step 3: Cross multiply
    77,005.45x = 115,507.77 × 34,900.03
  4. Step 4: Simplify right side
    77,005.45x = 4,031,224,638.23
  5. Step 5: Solve for x
    x = 4,031,224,638.23/77,005.45
  6. Step 6: Final answer
    x = 52,349.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.