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Finding the Fourth Proportional to 32,152.47, 44,385.80 and 21,415.21

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Solution

The fourth proportional to 32,152.47, 44,385.80 and 21,415.21 is: 29,563.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,152.47 : 44,385.80 = 21,415.21 : x
  2. Step 2: Convert to fraction form
    32,152.47/44,385.80 = 21,415.21/x
  3. Step 3: Cross multiply
    32,152.47x = 44,385.80 × 21,415.21
  4. Step 4: Simplify right side
    32,152.47x = 950,531,228.02
  5. Step 5: Solve for x
    x = 950,531,228.02/32,152.47
  6. Step 6: Final answer
    x = 29,563.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.