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Finding the Fourth Proportional to 32,085.39, 48,128.31 and 9,898.28

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Solution

The fourth proportional to 32,085.39, 48,128.31 and 9,898.28 is: 14,847.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,085.39 : 48,128.31 = 9,898.28 : x
  2. Step 2: Convert to fraction form
    32,085.39/48,128.31 = 9,898.28/x
  3. Step 3: Cross multiply
    32,085.39x = 48,128.31 × 9,898.28
  4. Step 4: Simplify right side
    32,085.39x = 476,387,488.31
  5. Step 5: Solve for x
    x = 476,387,488.31/32,085.39
  6. Step 6: Final answer
    x = 14,847.49

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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.