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Finding the Fourth Proportional to 52,408.84, 78,625.57 and 17,348.50

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Solution

The fourth proportional to 52,408.84, 78,625.57 and 17,348.50 is: 26,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,408.84 : 78,625.57 = 17,348.50 : x
  2. Step 2: Convert to fraction form
    52,408.84/78,625.57 = 17,348.50/x
  3. Step 3: Cross multiply
    52,408.84x = 78,625.57 × 17,348.50
  4. Step 4: Simplify right side
    52,408.84x = 1,364,035,701.15
  5. Step 5: Solve for x
    x = 1,364,035,701.15/52,408.84
  6. Step 6: Final answer
    x = 26,026.82

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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.