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Finding the Fourth Proportional to 52,349.90, 78,523.43 and 12,907.35

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Solution

The fourth proportional to 52,349.90, 78,523.43 and 12,907.35 is: 19,360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,349.90 : 78,523.43 = 12,907.35 : x
  2. Step 2: Convert to fraction form
    52,349.90/78,523.43 = 12,907.35/x
  3. Step 3: Cross multiply
    52,349.90x = 78,523.43 × 12,907.35
  4. Step 4: Simplify right side
    52,349.90x = 1,013,529,329.67
  5. Step 5: Solve for x
    x = 1,013,529,329.67/52,349.90
  6. Step 6: Final answer
    x = 19,360.68

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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.