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Finding the Fourth Proportional to 55,893.32, 77,132.01 and 30,399.14

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Solution

The fourth proportional to 55,893.32, 77,132.01 and 30,399.14 is: 41,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,893.32 : 77,132.01 = 30,399.14 : x
  2. Step 2: Convert to fraction form
    55,893.32/77,132.01 = 30,399.14/x
  3. Step 3: Cross multiply
    55,893.32x = 77,132.01 × 30,399.14
  4. Step 4: Simplify right side
    55,893.32x = 2,344,746,384.81
  5. Step 5: Solve for x
    x = 2,344,746,384.81/55,893.32
  6. Step 6: Final answer
    x = 41,950.38

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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.