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Finding the Fourth Proportional to 42,776.69, 64,172.33 and 13,189.01

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Solution

The fourth proportional to 42,776.69, 64,172.33 and 13,189.01 is: 19,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,776.69 : 64,172.33 = 13,189.01 : x
  2. Step 2: Convert to fraction form
    42,776.69/64,172.33 = 13,189.01/x
  3. Step 3: Cross multiply
    42,776.69x = 64,172.33 × 13,189.01
  4. Step 4: Simplify right side
    42,776.69x = 846,369,596.58
  5. Step 5: Solve for x
    x = 846,369,596.58/42,776.69
  6. Step 6: Final answer
    x = 19,785.77

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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.