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Finding the Fourth Proportional to 65,231.76, 89,931.96 and 42,525.84

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Solution

The fourth proportional to 65,231.76, 89,931.96 and 42,525.84 is: 58,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,231.76 : 89,931.96 = 42,525.84 : x
  2. Step 2: Convert to fraction form
    65,231.76/89,931.96 = 42,525.84/x
  3. Step 3: Cross multiply
    65,231.76x = 89,931.96 × 42,525.84
  4. Step 4: Simplify right side
    65,231.76x = 3,824,432,141.85
  5. Step 5: Solve for x
    x = 3,824,432,141.85/65,231.76
  6. Step 6: Final answer
    x = 58,628.38

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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.