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Finding the Fourth Proportional to 42,980.32, 64,472.16 and 13,400.80

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Solution

The fourth proportional to 42,980.32, 64,472.16 and 13,400.80 is: 20,101.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,980.32 : 64,472.16 = 13,400.80 : x
  2. Step 2: Convert to fraction form
    42,980.32/64,472.16 = 13,400.80/x
  3. Step 3: Cross multiply
    42,980.32x = 64,472.16 × 13,400.80
  4. Step 4: Simplify right side
    42,980.32x = 863,978,521.73
  5. Step 5: Solve for x
    x = 863,978,521.73/42,980.32
  6. Step 6: Final answer
    x = 20,101.72

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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.