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Finding the Fourth Proportional to 42,478.34, 63,677.71 and 14,378.73

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Solution

The fourth proportional to 42,478.34, 63,677.71 and 14,378.73 is: 21,554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,478.34 : 63,677.71 = 14,378.73 : x
  2. Step 2: Convert to fraction form
    42,478.34/63,677.71 = 14,378.73/x
  3. Step 3: Cross multiply
    42,478.34x = 63,677.71 × 14,378.73
  4. Step 4: Simplify right side
    42,478.34x = 915,604,599.11
  5. Step 5: Solve for x
    x = 915,604,599.11/42,478.34
  6. Step 6: Final answer
    x = 21,554.62

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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.