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Finding the Fourth Proportional to 52,195.35, 78,292.65 and 12,752.10

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Solution

The fourth proportional to 52,195.35, 78,292.65 and 12,752.10 is: 19,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,195.35 : 78,292.65 = 12,752.10 : x
  2. Step 2: Convert to fraction form
    52,195.35/78,292.65 = 12,752.10/x
  3. Step 3: Cross multiply
    52,195.35x = 78,292.65 × 12,752.10
  4. Step 4: Simplify right side
    52,195.35x = 998,395,702.07
  5. Step 5: Solve for x
    x = 998,395,702.07/52,195.35
  6. Step 6: Final answer
    x = 19,128.06

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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.