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Finding the Fourth Proportional to 58,871.68, 88,232.64 and 27,664

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Solution

The fourth proportional to 58,871.68, 88,232.64 and 27,664 is: 41,460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,871.68 : 88,232.64 = 27,664 : x
  2. Step 2: Convert to fraction form
    58,871.68/88,232.64 = 27,664/x
  3. Step 3: Cross multiply
    58,871.68x = 88,232.64 × 27,664
  4. Step 4: Simplify right side
    58,871.68x = 2,440,867,752.96
  5. Step 5: Solve for x
    x = 2,440,867,752.96/58,871.68
  6. Step 6: Final answer
    x = 41,460.81

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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.