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Finding the Fourth Proportional to 42,561.22, 63,755.54 and 19,733

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Solution

The fourth proportional to 42,561.22, 63,755.54 and 19,733 is: 29,559.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,561.22 : 63,755.54 = 19,733 : x
  2. Step 2: Convert to fraction form
    42,561.22/63,755.54 = 19,733/x
  3. Step 3: Cross multiply
    42,561.22x = 63,755.54 × 19,733
  4. Step 4: Simplify right side
    42,561.22x = 1,258,088,070.82
  5. Step 5: Solve for x
    x = 1,258,088,070.82/42,561.22
  6. Step 6: Final answer
    x = 29,559.49

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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.