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Finding the Fourth Proportional to 42,778.94, 64,168.00 and 11,614.19

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Solution

The fourth proportional to 42,778.94, 64,168.00 and 11,614.19 is: 17,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,778.94 : 64,168.00 = 11,614.19 : x
  2. Step 2: Convert to fraction form
    42,778.94/64,168.00 = 11,614.19/x
  3. Step 3: Cross multiply
    42,778.94x = 64,168.00 × 11,614.19
  4. Step 4: Simplify right side
    42,778.94x = 745,258,994.04
  5. Step 5: Solve for x
    x = 745,258,994.04/42,778.94
  6. Step 6: Final answer
    x = 17,421.17

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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.