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Finding the Fourth Proportional to 105,087, 157,630.50 and 31,215

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Solution

The fourth proportional to 105,087, 157,630.50 and 31,215 is: 46,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,087 : 157,630.50 = 31,215 : x
  2. Step 2: Convert to fraction form
    105,087/157,630.50 = 31,215/x
  3. Step 3: Cross multiply
    105,087x = 157,630.50 × 31,215
  4. Step 4: Simplify right side
    105,087x = 4,920,436,057.50
  5. Step 5: Solve for x
    x = 4,920,436,057.50/105,087
  6. Step 6: Final answer
    x = 46,822.50

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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.