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Finding the Fourth Proportional to 58,712.82, 81,024.02 and 31,855.38

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Solution

The fourth proportional to 58,712.82, 81,024.02 and 31,855.38 is: 43,960.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,712.82 : 81,024.02 = 31,855.38 : x
  2. Step 2: Convert to fraction form
    58,712.82/81,024.02 = 31,855.38/x
  3. Step 3: Cross multiply
    58,712.82x = 81,024.02 × 31,855.38
  4. Step 4: Simplify right side
    58,712.82x = 2,581,050,946.23
  5. Step 5: Solve for x
    x = 2,581,050,946.23/58,712.82
  6. Step 6: Final answer
    x = 43,960.60

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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.