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Finding the Fourth Proportional to 56,499.84, 77,966.28 and 31,350.96

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Solution

The fourth proportional to 56,499.84, 77,966.28 and 31,350.96 is: 43,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,499.84 : 77,966.28 = 31,350.96 : x
  2. Step 2: Convert to fraction form
    56,499.84/77,966.28 = 31,350.96/x
  3. Step 3: Cross multiply
    56,499.84x = 77,966.28 × 31,350.96
  4. Step 4: Simplify right side
    56,499.84x = 2,444,317,725.63
  5. Step 5: Solve for x
    x = 2,444,317,725.63/56,499.84
  6. Step 6: Final answer
    x = 43,262.38

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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.