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Finding the Fourth Proportional to 56,750.94, 78,315.56 and 31,256.82

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Solution

The fourth proportional to 56,750.94, 78,315.56 and 31,256.82 is: 43,134.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,750.94 : 78,315.56 = 31,256.82 : x
  2. Step 2: Convert to fraction form
    56,750.94/78,315.56 = 31,256.82/x
  3. Step 3: Cross multiply
    56,750.94x = 78,315.56 × 31,256.82
  4. Step 4: Simplify right side
    56,750.94x = 2,447,894,814.26
  5. Step 5: Solve for x
    x = 2,447,894,814.26/56,750.94
  6. Step 6: Final answer
    x = 43,134.00

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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.