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Finding the Fourth Proportional to 56,388.48, 77,812.56 and 31,236

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Solution

The fourth proportional to 56,388.48, 77,812.56 and 31,236 is: 43,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,388.48 : 77,812.56 = 31,236 : x
  2. Step 2: Convert to fraction form
    56,388.48/77,812.56 = 31,236/x
  3. Step 3: Cross multiply
    56,388.48x = 77,812.56 × 31,236
  4. Step 4: Simplify right side
    56,388.48x = 2,430,553,124.16
  5. Step 5: Solve for x
    x = 2,430,553,124.16/56,388.48
  6. Step 6: Final answer
    x = 43,103.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.