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Finding the Fourth Proportional to 89,830.68, 134,706.90 and 25,774.71

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Solution

The fourth proportional to 89,830.68, 134,706.90 and 25,774.71 is: 38,650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,830.68 : 134,706.90 = 25,774.71 : x
  2. Step 2: Convert to fraction form
    89,830.68/134,706.90 = 25,774.71/x
  3. Step 3: Cross multiply
    89,830.68x = 134,706.90 × 25,774.71
  4. Step 4: Simplify right side
    89,830.68x = 3,472,031,282.50
  5. Step 5: Solve for x
    x = 3,472,031,282.50/89,830.68
  6. Step 6: Final answer
    x = 38,650.84

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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.