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Finding the Fourth Proportional to 90,050.68, 135,043.62 and 30,870.46

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Solution

The fourth proportional to 90,050.68, 135,043.62 and 30,870.46 is: 46,294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,050.68 : 135,043.62 = 30,870.46 : x
  2. Step 2: Convert to fraction form
    90,050.68/135,043.62 = 30,870.46/x
  3. Step 3: Cross multiply
    90,050.68x = 135,043.62 × 30,870.46
  4. Step 4: Simplify right side
    90,050.68x = 4,168,858,669.47
  5. Step 5: Solve for x
    x = 4,168,858,669.47/90,050.68
  6. Step 6: Final answer
    x = 46,294.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.