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Finding the Fourth Proportional to 32,085.77, 48,128.68 and 8,712.21

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Solution

The fourth proportional to 32,085.77, 48,128.68 and 8,712.21 is: 13,068.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,085.77 : 48,128.68 = 8,712.21 : x
  2. Step 2: Convert to fraction form
    32,085.77/48,128.68 = 8,712.21/x
  3. Step 3: Cross multiply
    32,085.77x = 48,128.68 × 8,712.21
  4. Step 4: Simplify right side
    32,085.77x = 419,307,087.83
  5. Step 5: Solve for x
    x = 419,307,087.83/32,085.77
  6. Step 6: Final answer
    x = 13,068.32

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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.