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Finding the Fourth Proportional to 42,645.69, 63,975.83 and 14,564.21

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Solution

The fourth proportional to 42,645.69, 63,975.83 and 14,564.21 is: 21,848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,645.69 : 63,975.83 = 14,564.21 : x
  2. Step 2: Convert to fraction form
    42,645.69/63,975.83 = 14,564.21/x
  3. Step 3: Cross multiply
    42,645.69x = 63,975.83 × 14,564.21
  4. Step 4: Simplify right side
    42,645.69x = 931,757,030.34
  5. Step 5: Solve for x
    x = 931,757,030.34/42,645.69
  6. Step 6: Final answer
    x = 21,848.80

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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.