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Finding the Fourth Proportional to 97,143.46, 134,058.48 and 56,849.38

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Solution

The fourth proportional to 97,143.46, 134,058.48 and 56,849.38 is: 78,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,143.46 : 134,058.48 = 56,849.38 : x
  2. Step 2: Convert to fraction form
    97,143.46/134,058.48 = 56,849.38/x
  3. Step 3: Cross multiply
    97,143.46x = 134,058.48 × 56,849.38
  4. Step 4: Simplify right side
    97,143.46x = 7,621,141,471.74
  5. Step 5: Solve for x
    x = 7,621,141,471.74/97,143.46
  6. Step 6: Final answer
    x = 78,452.44

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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.