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Finding the Fourth Proportional to 32,415.97, 44,746.34 and 21,811.76

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Solution

The fourth proportional to 32,415.97, 44,746.34 and 21,811.76 is: 30,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415.97 : 44,746.34 = 21,811.76 : x
  2. Step 2: Convert to fraction form
    32,415.97/44,746.34 = 21,811.76/x
  3. Step 3: Cross multiply
    32,415.97x = 44,746.34 × 21,811.76
  4. Step 4: Simplify right side
    32,415.97x = 975,996,428.96
  5. Step 5: Solve for x
    x = 975,996,428.96/32,415.97
  6. Step 6: Final answer
    x = 30,108.51

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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.