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Finding the Fourth Proportional to 92,148.84, 138,223.16 and 28,974.50

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Solution

The fourth proportional to 92,148.84, 138,223.16 and 28,974.50 is: 43,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,148.84 : 138,223.16 = 28,974.50 : x
  2. Step 2: Convert to fraction form
    92,148.84/138,223.16 = 28,974.50/x
  3. Step 3: Cross multiply
    92,148.84x = 138,223.16 × 28,974.50
  4. Step 4: Simplify right side
    92,148.84x = 4,004,946,503.52
  5. Step 5: Solve for x
    x = 4,004,946,503.52/92,148.84
  6. Step 6: Final answer
    x = 43,461.71

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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.