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Finding the Fourth Proportional to 82,234.16, 113,483.12 and 44,508.40

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Solution

The fourth proportional to 82,234.16, 113,483.12 and 44,508.40 is: 61,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,234.16 : 113,483.12 = 44,508.40 : x
  2. Step 2: Convert to fraction form
    82,234.16/113,483.12 = 44,508.40/x
  3. Step 3: Cross multiply
    82,234.16x = 113,483.12 × 44,508.40
  4. Step 4: Simplify right side
    82,234.16x = 5,050,952,098.21
  5. Step 5: Solve for x
    x = 5,050,952,098.21/82,234.16
  6. Step 6: Final answer
    x = 61,421.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.