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Finding the Fourth Proportional to 34,277.48, 51,408.54 and 9,655.40

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Solution

The fourth proportional to 34,277.48, 51,408.54 and 9,655.40 is: 14,480.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,277.48 : 51,408.54 = 9,655.40 : x
  2. Step 2: Convert to fraction form
    34,277.48/51,408.54 = 9,655.40/x
  3. Step 3: Cross multiply
    34,277.48x = 51,408.54 × 9,655.40
  4. Step 4: Simplify right side
    34,277.48x = 496,370,017.12
  5. Step 5: Solve for x
    x = 496,370,017.12/34,277.48
  6. Step 6: Final answer
    x = 14,480.94

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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.