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Finding the Fourth Proportional to 32,104.55, 48,139.52 and 14,564.81

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Solution

The fourth proportional to 32,104.55, 48,139.52 and 14,564.81 is: 21,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,104.55 : 48,139.52 = 14,564.81 : x
  2. Step 2: Convert to fraction form
    32,104.55/48,139.52 = 14,564.81/x
  3. Step 3: Cross multiply
    32,104.55x = 48,139.52 × 14,564.81
  4. Step 4: Simplify right side
    32,104.55x = 701,143,009.82
  5. Step 5: Solve for x
    x = 701,143,009.82/32,104.55
  6. Step 6: Final answer
    x = 21,839.36

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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.