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Finding the Fourth Proportional to 56,588.68, 78,092.35 and 31,096.68

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Solution

The fourth proportional to 56,588.68, 78,092.35 and 31,096.68 is: 42,913.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,588.68 : 78,092.35 = 31,096.68 : x
  2. Step 2: Convert to fraction form
    56,588.68/78,092.35 = 31,096.68/x
  3. Step 3: Cross multiply
    56,588.68x = 78,092.35 × 31,096.68
  4. Step 4: Simplify right side
    56,588.68x = 2,428,412,818.40
  5. Step 5: Solve for x
    x = 2,428,412,818.40/56,588.68
  6. Step 6: Final answer
    x = 42,913.41

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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.