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Finding the Fourth Proportional to 56,014.30, 77,328.31 and 37,960.40

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Solution

The fourth proportional to 56,014.30, 77,328.31 and 37,960.40 is: 52,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,014.30 : 77,328.31 = 37,960.40 : x
  2. Step 2: Convert to fraction form
    56,014.30/77,328.31 = 37,960.40/x
  3. Step 3: Cross multiply
    56,014.30x = 77,328.31 × 37,960.40
  4. Step 4: Simplify right side
    56,014.30x = 2,935,413,097.38
  5. Step 5: Solve for x
    x = 2,935,413,097.38/56,014.30
  6. Step 6: Final answer
    x = 52,404.71

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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.