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Finding the Fourth Proportional to 42,270.84, 63,409.86 and 11,106

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Solution

The fourth proportional to 42,270.84, 63,409.86 and 11,106 is: 16,659.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,270.84 : 63,409.86 = 11,106 : x
  2. Step 2: Convert to fraction form
    42,270.84/63,409.86 = 11,106/x
  3. Step 3: Cross multiply
    42,270.84x = 63,409.86 × 11,106
  4. Step 4: Simplify right side
    42,270.84x = 704,229,905.16
  5. Step 5: Solve for x
    x = 704,229,905.16/42,270.84
  6. Step 6: Final answer
    x = 16,659.95

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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.