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Finding the Fourth Proportional to 42,645.96, 63,976.86 and 14,564.46

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Solution

The fourth proportional to 42,645.96, 63,976.86 and 14,564.46 is: 21,849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,645.96 : 63,976.86 = 14,564.46 : x
  2. Step 2: Convert to fraction form
    42,645.96/63,976.86 = 14,564.46/x
  3. Step 3: Cross multiply
    42,645.96x = 63,976.86 × 14,564.46
  4. Step 4: Simplify right side
    42,645.96x = 931,788,418.40
  5. Step 5: Solve for x
    x = 931,788,418.40/42,645.96
  6. Step 6: Final answer
    x = 21,849.39

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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.