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Finding the Fourth Proportional to 58,208, 80,327.04 and 31,712

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Solution

The fourth proportional to 58,208, 80,327.04 and 31,712 is: 43,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,208 : 80,327.04 = 31,712 : x
  2. Step 2: Convert to fraction form
    58,208/80,327.04 = 31,712/x
  3. Step 3: Cross multiply
    58,208x = 80,327.04 × 31,712
  4. Step 4: Simplify right side
    58,208x = 2,547,331,092.48
  5. Step 5: Solve for x
    x = 2,547,331,092.48/58,208
  6. Step 6: Final answer
    x = 43,762.56

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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.