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Finding the Fourth Proportional to 55,893.16, 77,138.22 and 32,023

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Solution

The fourth proportional to 55,893.16, 77,138.22 and 32,023 is: 44,194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,893.16 : 77,138.22 = 32,023 : x
  2. Step 2: Convert to fraction form
    55,893.16/77,138.22 = 32,023/x
  3. Step 3: Cross multiply
    55,893.16x = 77,138.22 × 32,023
  4. Step 4: Simplify right side
    55,893.16x = 2,470,197,219.06
  5. Step 5: Solve for x
    x = 2,470,197,219.06/55,893.16
  6. Step 6: Final answer
    x = 44,194.98

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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.