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Finding the Fourth Proportional to 42,471.42, 63,707.28 and 12,889.50

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Solution

The fourth proportional to 42,471.42, 63,707.28 and 12,889.50 is: 19,334.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,471.42 : 63,707.28 = 12,889.50 : x
  2. Step 2: Convert to fraction form
    42,471.42/63,707.28 = 12,889.50/x
  3. Step 3: Cross multiply
    42,471.42x = 63,707.28 × 12,889.50
  4. Step 4: Simplify right side
    42,471.42x = 821,154,985.56
  5. Step 5: Solve for x
    x = 821,154,985.56/42,471.42
  6. Step 6: Final answer
    x = 19,334.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.