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Finding the Fourth Proportional to 55,465.97, 76,381.79 and 48,195

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Solution

The fourth proportional to 55,465.97, 76,381.79 and 48,195 is: 66,368.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,465.97 : 76,381.79 = 48,195 : x
  2. Step 2: Convert to fraction form
    55,465.97/76,381.79 = 48,195/x
  3. Step 3: Cross multiply
    55,465.97x = 76,381.79 × 48,195
  4. Step 4: Simplify right side
    55,465.97x = 3,681,220,128.08
  5. Step 5: Solve for x
    x = 3,681,220,128.08/55,465.97
  6. Step 6: Final answer
    x = 66,368.99

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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.