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Finding the Fourth Proportional to 32,447, 48,673.62 and 14,921.72

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Solution

The fourth proportional to 32,447, 48,673.62 and 14,921.72 is: 22,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447 : 48,673.62 = 14,921.72 : x
  2. Step 2: Convert to fraction form
    32,447/48,673.62 = 14,921.72/x
  3. Step 3: Cross multiply
    32,447x = 48,673.62 × 14,921.72
  4. Step 4: Simplify right side
    32,447x = 726,294,129.03
  5. Step 5: Solve for x
    x = 726,294,129.03/32,447
  6. Step 6: Final answer
    x = 22,384.01

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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.