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Finding the Fourth Proportional to 55,880.28, 77,122.62 and 34,666.38

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Solution

The fourth proportional to 55,880.28, 77,122.62 and 34,666.38 is: 47,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,880.28 : 77,122.62 = 34,666.38 : x
  2. Step 2: Convert to fraction form
    55,880.28/77,122.62 = 34,666.38/x
  3. Step 3: Cross multiply
    55,880.28x = 77,122.62 × 34,666.38
  4. Step 4: Simplify right side
    55,880.28x = 2,673,562,051.52
  5. Step 5: Solve for x
    x = 2,673,562,051.52/55,880.28
  6. Step 6: Final answer
    x = 47,844.46

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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.