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Finding the Fourth Proportional to 32,009.76, 48,032.28 and 14,478.24

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Solution

The fourth proportional to 32,009.76, 48,032.28 and 14,478.24 is: 21,725.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,009.76 : 48,032.28 = 14,478.24 : x
  2. Step 2: Convert to fraction form
    32,009.76/48,032.28 = 14,478.24/x
  3. Step 3: Cross multiply
    32,009.76x = 48,032.28 × 14,478.24
  4. Step 4: Simplify right side
    32,009.76x = 695,422,877.59
  5. Step 5: Solve for x
    x = 695,422,877.59/32,009.76
  6. Step 6: Final answer
    x = 21,725.34

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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.