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Finding the Fourth Proportional to 58,810, 81,157.80 and 32,314

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Solution

The fourth proportional to 58,810, 81,157.80 and 32,314 is: 44,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,810 : 81,157.80 = 32,314 : x
  2. Step 2: Convert to fraction form
    58,810/81,157.80 = 32,314/x
  3. Step 3: Cross multiply
    58,810x = 81,157.80 × 32,314
  4. Step 4: Simplify right side
    58,810x = 2,622,533,149.20
  5. Step 5: Solve for x
    x = 2,622,533,149.20/58,810
  6. Step 6: Final answer
    x = 44,593.32

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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.