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Finding the Fourth Proportional to 75,030.95, 112,578 and 32,889.27

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Solution

The fourth proportional to 75,030.95, 112,578 and 32,889.27 is: 49,347.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,030.95 : 112,578 = 32,889.27 : x
  2. Step 2: Convert to fraction form
    75,030.95/112,578 = 32,889.27/x
  3. Step 3: Cross multiply
    75,030.95x = 112,578 × 32,889.27
  4. Step 4: Simplify right side
    75,030.95x = 3,702,608,238.06
  5. Step 5: Solve for x
    x = 3,702,608,238.06/75,030.95
  6. Step 6: Final answer
    x = 49,347.75

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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.