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Finding the Fourth Proportional to 56,875.68, 78,474.06 and 34,207.38

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Solution

The fourth proportional to 56,875.68, 78,474.06 and 34,207.38 is: 47,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,875.68 : 78,474.06 = 34,207.38 : x
  2. Step 2: Convert to fraction form
    56,875.68/78,474.06 = 34,207.38/x
  3. Step 3: Cross multiply
    56,875.68x = 78,474.06 × 34,207.38
  4. Step 4: Simplify right side
    56,875.68x = 2,684,391,990.56
  5. Step 5: Solve for x
    x = 2,684,391,990.56/56,875.68
  6. Step 6: Final answer
    x = 47,197.54

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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.