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Finding the Fourth Proportional to 55,658.40, 76,808.16 and 30,507.84

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Solution

The fourth proportional to 55,658.40, 76,808.16 and 30,507.84 is: 42,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,658.40 : 76,808.16 = 30,507.84 : x
  2. Step 2: Convert to fraction form
    55,658.40/76,808.16 = 30,507.84/x
  3. Step 3: Cross multiply
    55,658.40x = 76,808.16 × 30,507.84
  4. Step 4: Simplify right side
    55,658.40x = 2,343,251,055.97
  5. Step 5: Solve for x
    x = 2,343,251,055.97/55,658.40
  6. Step 6: Final answer
    x = 42,100.58

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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.