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Finding the Fourth Proportional to 56,574.14, 78,072.35 and 31,082.15

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Solution

The fourth proportional to 56,574.14, 78,072.35 and 31,082.15 is: 42,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,574.14 : 78,072.35 = 31,082.15 : x
  2. Step 2: Convert to fraction form
    56,574.14/78,072.35 = 31,082.15/x
  3. Step 3: Cross multiply
    56,574.14x = 78,072.35 × 31,082.15
  4. Step 4: Simplify right side
    56,574.14x = 2,426,656,338.14
  5. Step 5: Solve for x
    x = 2,426,656,338.14/56,574.14
  6. Step 6: Final answer
    x = 42,893.38

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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.