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Finding the Fourth Proportional to 55,896, 77,137.20 and 30,746.40

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Solution

The fourth proportional to 55,896, 77,137.20 and 30,746.40 is: 42,430.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,896 : 77,137.20 = 30,746.40 : x
  2. Step 2: Convert to fraction form
    55,896/77,137.20 = 30,746.40/x
  3. Step 3: Cross multiply
    55,896x = 77,137.20 × 30,746.40
  4. Step 4: Simplify right side
    55,896x = 2,371,691,206.08
  5. Step 5: Solve for x
    x = 2,371,691,206.08/55,896
  6. Step 6: Final answer
    x = 42,430.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.