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Finding the Fourth Proportional to 51,503.60, 77,240.52 and 23,408

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Solution

The fourth proportional to 51,503.60, 77,240.52 and 23,408 is: 35,105.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,503.60 : 77,240.52 = 23,408 : x
  2. Step 2: Convert to fraction form
    51,503.60/77,240.52 = 23,408/x
  3. Step 3: Cross multiply
    51,503.60x = 77,240.52 × 23,408
  4. Step 4: Simplify right side
    51,503.60x = 1,808,046,092.16
  5. Step 5: Solve for x
    x = 1,808,046,092.16/51,503.60
  6. Step 6: Final answer
    x = 35,105.24

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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.