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Finding the Fourth Proportional to 42,471.76, 63,708.02 and 12,889.59

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Solution

The fourth proportional to 42,471.76, 63,708.02 and 12,889.59 is: 19,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,471.76 : 63,708.02 = 12,889.59 : x
  2. Step 2: Convert to fraction form
    42,471.76/63,708.02 = 12,889.59/x
  3. Step 3: Cross multiply
    42,471.76x = 63,708.02 × 12,889.59
  4. Step 4: Simplify right side
    42,471.76x = 821,170,193.06
  5. Step 5: Solve for x
    x = 821,170,193.06/42,471.76
  6. Step 6: Final answer
    x = 19,334.50

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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.