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Finding the Fourth Proportional to 55,893.53, 77,165.93 and 34,684.49

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Solution

The fourth proportional to 55,893.53, 77,165.93 and 34,684.49 is: 47,884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,893.53 : 77,165.93 = 34,684.49 : x
  2. Step 2: Convert to fraction form
    55,893.53/77,165.93 = 34,684.49/x
  3. Step 3: Cross multiply
    55,893.53x = 77,165.93 × 34,684.49
  4. Step 4: Simplify right side
    55,893.53x = 2,676,460,927.43
  5. Step 5: Solve for x
    x = 2,676,460,927.43/55,893.53
  6. Step 6: Final answer
    x = 47,884.99

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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.