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Finding the Fourth Proportional to 56,528.86, 78,005.92 and 31,376.38

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Solution

The fourth proportional to 56,528.86, 78,005.92 and 31,376.38 is: 43,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,528.86 : 78,005.92 = 31,376.38 : x
  2. Step 2: Convert to fraction form
    56,528.86/78,005.92 = 31,376.38/x
  3. Step 3: Cross multiply
    56,528.86x = 78,005.92 × 31,376.38
  4. Step 4: Simplify right side
    56,528.86x = 2,447,543,388.17
  5. Step 5: Solve for x
    x = 2,447,543,388.17/56,528.86
  6. Step 6: Final answer
    x = 43,297.24

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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.