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Finding the Fourth Proportional to 92,604.36, 138,925.98 and 30,270

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Solution

The fourth proportional to 92,604.36, 138,925.98 and 30,270 is: 45,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,604.36 : 138,925.98 = 30,270 : x
  2. Step 2: Convert to fraction form
    92,604.36/138,925.98 = 30,270/x
  3. Step 3: Cross multiply
    92,604.36x = 138,925.98 × 30,270
  4. Step 4: Simplify right side
    92,604.36x = 4,205,289,414.60
  5. Step 5: Solve for x
    x = 4,205,289,414.60/92,604.36
  6. Step 6: Final answer
    x = 45,411.35

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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.