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Finding the Fourth Proportional to 56,009.28, 77,291.84 and 30,858.24

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Solution

The fourth proportional to 56,009.28, 77,291.84 and 30,858.24 is: 42,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,009.28 : 77,291.84 = 30,858.24 : x
  2. Step 2: Convert to fraction form
    56,009.28/77,291.84 = 30,858.24/x
  3. Step 3: Cross multiply
    56,009.28x = 77,291.84 × 30,858.24
  4. Step 4: Simplify right side
    56,009.28x = 2,385,090,148.76
  5. Step 5: Solve for x
    x = 2,385,090,148.76/56,009.28
  6. Step 6: Final answer
    x = 42,583.84

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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.