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Finding the Fourth Proportional to 195,714.50, 293,571.76 and 47,970.50

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Solution

The fourth proportional to 195,714.50, 293,571.76 and 47,970.50 is: 71,955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,714.50 : 293,571.76 = 47,970.50 : x
  2. Step 2: Convert to fraction form
    195,714.50/293,571.76 = 47,970.50/x
  3. Step 3: Cross multiply
    195,714.50x = 293,571.76 × 47,970.50
  4. Step 4: Simplify right side
    195,714.50x = 14,082,784,113.08
  5. Step 5: Solve for x
    x = 14,082,784,113.08/195,714.50
  6. Step 6: Final answer
    x = 71,955.75

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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.