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Finding the Fourth Proportional to 58,165.48, 87,274.14 and 30,457

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Solution

The fourth proportional to 58,165.48, 87,274.14 and 30,457 is: 45,699.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,165.48 : 87,274.14 = 30,457 : x
  2. Step 2: Convert to fraction form
    58,165.48/87,274.14 = 30,457/x
  3. Step 3: Cross multiply
    58,165.48x = 87,274.14 × 30,457
  4. Step 4: Simplify right side
    58,165.48x = 2,658,108,481.98
  5. Step 5: Solve for x
    x = 2,658,108,481.98/58,165.48
  6. Step 6: Final answer
    x = 45,699.07

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Why These Related Problems?

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