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Finding the Fourth Proportional to 47,950.18, 71,949.57 and 32,335

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Solution

The fourth proportional to 47,950.18, 71,949.57 and 32,335 is: 48,518.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,950.18 : 71,949.57 = 32,335 : x
  2. Step 2: Convert to fraction form
    47,950.18/71,949.57 = 32,335/x
  3. Step 3: Cross multiply
    47,950.18x = 71,949.57 × 32,335
  4. Step 4: Simplify right side
    47,950.18x = 2,326,489,345.95
  5. Step 5: Solve for x
    x = 2,326,489,345.95/47,950.18
  6. Step 6: Final answer
    x = 48,518.89

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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.