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Finding the Fourth Proportional to 70,524, 105,803.60 and 21,276

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Solution

The fourth proportional to 70,524, 105,803.60 and 21,276 is: 31,919.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,524 : 105,803.60 = 21,276 : x
  2. Step 2: Convert to fraction form
    70,524/105,803.60 = 21,276/x
  3. Step 3: Cross multiply
    70,524x = 105,803.60 × 21,276
  4. Step 4: Simplify right side
    70,524x = 2,251,077,393.60
  5. Step 5: Solve for x
    x = 2,251,077,393.60/70,524
  6. Step 6: Final answer
    x = 31,919.31

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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.