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Finding the Fourth Proportional to 75,187.50, 112,782.60 and 35,184.30

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Solution

The fourth proportional to 75,187.50, 112,782.60 and 35,184.30 is: 52,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,187.50 : 112,782.60 = 35,184.30 : x
  2. Step 2: Convert to fraction form
    75,187.50/112,782.60 = 35,184.30/x
  3. Step 3: Cross multiply
    75,187.50x = 112,782.60 × 35,184.30
  4. Step 4: Simplify right side
    75,187.50x = 3,968,176,833.18
  5. Step 5: Solve for x
    x = 3,968,176,833.18/75,187.50
  6. Step 6: Final answer
    x = 52,777.08

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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.