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Finding the Fourth Proportional to 92,497.50, 138,746.25 and 30,168

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Solution

The fourth proportional to 92,497.50, 138,746.25 and 30,168 is: 45,252

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,497.50 : 138,746.25 = 30,168 : x
  2. Step 2: Convert to fraction form
    92,497.50/138,746.25 = 30,168/x
  3. Step 3: Cross multiply
    92,497.50x = 138,746.25 × 30,168
  4. Step 4: Simplify right side
    92,497.50x = 4,185,696,870
  5. Step 5: Solve for x
    x = 4,185,696,870/92,497.50
  6. Step 6: Final answer
    x = 45,252

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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.