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Finding the Fourth Proportional to 56,588.56, 78,094.56 and 31,438

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Solution

The fourth proportional to 56,588.56, 78,094.56 and 31,438 is: 43,385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,588.56 : 78,094.56 = 31,438 : x
  2. Step 2: Convert to fraction form
    56,588.56/78,094.56 = 31,438/x
  3. Step 3: Cross multiply
    56,588.56x = 78,094.56 × 31,438
  4. Step 4: Simplify right side
    56,588.56x = 2,455,136,777.28
  5. Step 5: Solve for x
    x = 2,455,136,777.28/56,588.56
  6. Step 6: Final answer
    x = 43,385.74

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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.