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Finding the Fourth Proportional to 34,745.40, 52,118.10 and 9,785.70

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Solution

The fourth proportional to 34,745.40, 52,118.10 and 9,785.70 is: 14,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,745.40 : 52,118.10 = 9,785.70 : x
  2. Step 2: Convert to fraction form
    34,745.40/52,118.10 = 9,785.70/x
  3. Step 3: Cross multiply
    34,745.40x = 52,118.10 × 9,785.70
  4. Step 4: Simplify right side
    34,745.40x = 510,012,091.17
  5. Step 5: Solve for x
    x = 510,012,091.17/34,745.40
  6. Step 6: Final answer
    x = 14,678.55

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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.