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Finding the Fourth Proportional to 52,051.80, 78,066 and 23,944.87

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Solution

The fourth proportional to 52,051.80, 78,066 and 23,944.87 is: 35,911.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,051.80 : 78,066 = 23,944.87 : x
  2. Step 2: Convert to fraction form
    52,051.80/78,066 = 23,944.87/x
  3. Step 3: Cross multiply
    52,051.80x = 78,066 × 23,944.87
  4. Step 4: Simplify right side
    52,051.80x = 1,869,280,026.26
  5. Step 5: Solve for x
    x = 1,869,280,026.26/52,051.80
  6. Step 6: Final answer
    x = 35,911.92

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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.