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Finding the Fourth Proportional to 56,008.34, 77,291.47 and 30,857.84

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Solution

The fourth proportional to 56,008.34, 77,291.47 and 30,857.84 is: 42,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,008.34 : 77,291.47 = 30,857.84 : x
  2. Step 2: Convert to fraction form
    56,008.34/77,291.47 = 30,857.84/x
  3. Step 3: Cross multiply
    56,008.34x = 77,291.47 × 30,857.84
  4. Step 4: Simplify right side
    56,008.34x = 2,385,047,583.01
  5. Step 5: Solve for x
    x = 2,385,047,583.01/56,008.34
  6. Step 6: Final answer
    x = 42,583.79

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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.