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Finding the Fourth Proportional to 56,075.34, 77,383.74 and 30,581.64

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Solution

The fourth proportional to 56,075.34, 77,383.74 and 30,581.64 is: 42,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,075.34 : 77,383.74 = 30,581.64 : x
  2. Step 2: Convert to fraction form
    56,075.34/77,383.74 = 30,581.64/x
  3. Step 3: Cross multiply
    56,075.34x = 77,383.74 × 30,581.64
  4. Step 4: Simplify right side
    56,075.34x = 2,366,521,678.53
  5. Step 5: Solve for x
    x = 2,366,521,678.53/56,075.34
  6. Step 6: Final answer
    x = 42,202.54

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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.