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Finding the Fourth Proportional to 56,079.14, 77,388.84 and 30,928.64

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Solution

The fourth proportional to 56,079.14, 77,388.84 and 30,928.64 is: 42,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,079.14 : 77,388.84 = 30,928.64 : x
  2. Step 2: Convert to fraction form
    56,079.14/77,388.84 = 30,928.64/x
  3. Step 3: Cross multiply
    56,079.14x = 77,388.84 × 30,928.64
  4. Step 4: Simplify right side
    56,079.14x = 2,393,531,572.38
  5. Step 5: Solve for x
    x = 2,393,531,572.38/56,079.14
  6. Step 6: Final answer
    x = 42,681.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.