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Finding the Fourth Proportional to 52,133.20, 78,199.04 and 12,690.40

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Solution

The fourth proportional to 52,133.20, 78,199.04 and 12,690.40 is: 19,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,133.20 : 78,199.04 = 12,690.40 : x
  2. Step 2: Convert to fraction form
    52,133.20/78,199.04 = 12,690.40/x
  3. Step 3: Cross multiply
    52,133.20x = 78,199.04 × 12,690.40
  4. Step 4: Simplify right side
    52,133.20x = 992,377,097.22
  5. Step 5: Solve for x
    x = 992,377,097.22/52,133.20
  6. Step 6: Final answer
    x = 19,035.41

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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.