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Finding the Fourth Proportional to 58,213, 80,333.94 and 31,717

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Solution

The fourth proportional to 58,213, 80,333.94 and 31,717 is: 43,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,213 : 80,333.94 = 31,717 : x
  2. Step 2: Convert to fraction form
    58,213/80,333.94 = 31,717/x
  3. Step 3: Cross multiply
    58,213x = 80,333.94 × 31,717
  4. Step 4: Simplify right side
    58,213x = 2,547,951,574.98
  5. Step 5: Solve for x
    x = 2,547,951,574.98/58,213
  6. Step 6: Final answer
    x = 43,769.46

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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.