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Finding the Fourth Proportional to 56,504.84, 77,977.14 and 31,354.76

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Solution

The fourth proportional to 56,504.84, 77,977.14 and 31,354.76 is: 43,269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,504.84 : 77,977.14 = 31,354.76 : x
  2. Step 2: Convert to fraction form
    56,504.84/77,977.14 = 31,354.76/x
  3. Step 3: Cross multiply
    56,504.84x = 77,977.14 × 31,354.76
  4. Step 4: Simplify right side
    56,504.84x = 2,444,954,510.19
  5. Step 5: Solve for x
    x = 2,444,954,510.19/56,504.84
  6. Step 6: Final answer
    x = 43,269.82

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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.