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Finding the Fourth Proportional to 66,970.34, 100,384.70 and 24,247.28

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Solution

The fourth proportional to 66,970.34, 100,384.70 and 24,247.28 is: 36,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,970.34 : 100,384.70 = 24,247.28 : x
  2. Step 2: Convert to fraction form
    66,970.34/100,384.70 = 24,247.28/x
  3. Step 3: Cross multiply
    66,970.34x = 100,384.70 × 24,247.28
  4. Step 4: Simplify right side
    66,970.34x = 2,434,055,928.62
  5. Step 5: Solve for x
    x = 2,434,055,928.62/66,970.34
  6. Step 6: Final answer
    x = 36,345.28

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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.