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Finding the Fourth Proportional to 32,013, 48,019.50 and 10,125

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Solution

The fourth proportional to 32,013, 48,019.50 and 10,125 is: 15,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,013 : 48,019.50 = 10,125 : x
  2. Step 2: Convert to fraction form
    32,013/48,019.50 = 10,125/x
  3. Step 3: Cross multiply
    32,013x = 48,019.50 × 10,125
  4. Step 4: Simplify right side
    32,013x = 486,197,437.50
  5. Step 5: Solve for x
    x = 486,197,437.50/32,013
  6. Step 6: Final answer
    x = 15,187.50

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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.