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Finding the Fourth Proportional to 90,509.82, 135,735.93 and 37,909.50

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Solution

The fourth proportional to 90,509.82, 135,735.93 and 37,909.50 is: 56,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,509.82 : 135,735.93 = 37,909.50 : x
  2. Step 2: Convert to fraction form
    90,509.82/135,735.93 = 37,909.50/x
  3. Step 3: Cross multiply
    90,509.82x = 135,735.93 × 37,909.50
  4. Step 4: Simplify right side
    90,509.82x = 5,145,681,238.34
  5. Step 5: Solve for x
    x = 5,145,681,238.34/90,509.82
  6. Step 6: Final answer
    x = 56,852.19

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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.