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Finding the Fourth Proportional to 33,024, 45,573.76 and 19,776

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Solution

The fourth proportional to 33,024, 45,573.76 and 19,776 is: 27,291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,024 : 45,573.76 = 19,776 : x
  2. Step 2: Convert to fraction form
    33,024/45,573.76 = 19,776/x
  3. Step 3: Cross multiply
    33,024x = 45,573.76 × 19,776
  4. Step 4: Simplify right side
    33,024x = 901,266,677.76
  5. Step 5: Solve for x
    x = 901,266,677.76/33,024
  6. Step 6: Final answer
    x = 27,291.26

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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.