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Finding the Fourth Proportional to 32,041.47, 44,214.12 and 21,978.54

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Solution

The fourth proportional to 32,041.47, 44,214.12 and 21,978.54 is: 30,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,041.47 : 44,214.12 = 21,978.54 : x
  2. Step 2: Convert to fraction form
    32,041.47/44,214.12 = 21,978.54/x
  3. Step 3: Cross multiply
    32,041.47x = 44,214.12 × 21,978.54
  4. Step 4: Simplify right side
    32,041.47x = 971,761,804.98
  5. Step 5: Solve for x
    x = 971,761,804.98/32,041.47
  6. Step 6: Final answer
    x = 30,328.25

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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.