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Finding the Fourth Proportional to 51,929.12, 77,905.20 and 24,212

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Solution

The fourth proportional to 51,929.12, 77,905.20 and 24,212 is: 36,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,929.12 : 77,905.20 = 24,212 : x
  2. Step 2: Convert to fraction form
    51,929.12/77,905.20 = 24,212/x
  3. Step 3: Cross multiply
    51,929.12x = 77,905.20 × 24,212
  4. Step 4: Simplify right side
    51,929.12x = 1,886,240,702.40
  5. Step 5: Solve for x
    x = 1,886,240,702.40/51,929.12
  6. Step 6: Final answer
    x = 36,323.37

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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.