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Finding the Fourth Proportional to 33,005.64, 45,533.01 and 19,577.46

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Solution

The fourth proportional to 33,005.64, 45,533.01 and 19,577.46 is: 27,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005.64 : 45,533.01 = 19,577.46 : x
  2. Step 2: Convert to fraction form
    33,005.64/45,533.01 = 19,577.46/x
  3. Step 3: Cross multiply
    33,005.64x = 45,533.01 × 19,577.46
  4. Step 4: Simplify right side
    33,005.64x = 891,420,681.95
  5. Step 5: Solve for x
    x = 891,420,681.95/33,005.64
  6. Step 6: Final answer
    x = 27,008.13

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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.