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Finding the Fourth Proportional to 47,645, 71,470.56 and 12,583.76

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Solution

The fourth proportional to 47,645, 71,470.56 and 12,583.76 is: 18,876.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,645 : 71,470.56 = 12,583.76 : x
  2. Step 2: Convert to fraction form
    47,645/71,470.56 = 12,583.76/x
  3. Step 3: Cross multiply
    47,645x = 71,470.56 × 12,583.76
  4. Step 4: Simplify right side
    47,645x = 899,368,374.11
  5. Step 5: Solve for x
    x = 899,368,374.11/47,645
  6. Step 6: Final answer
    x = 18,876.45

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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.