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Finding the Fourth Proportional to 55,836.84, 77,054.84 and 30,686.34

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Solution

The fourth proportional to 55,836.84, 77,054.84 and 30,686.34 is: 42,347.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,836.84 : 77,054.84 = 30,686.34 : x
  2. Step 2: Convert to fraction form
    55,836.84/77,054.84 = 30,686.34/x
  3. Step 3: Cross multiply
    55,836.84x = 77,054.84 × 30,686.34
  4. Step 4: Simplify right side
    55,836.84x = 2,364,531,442.09
  5. Step 5: Solve for x
    x = 2,364,531,442.09/55,836.84
  6. Step 6: Final answer
    x = 42,347.15

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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.