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Finding the Fourth Proportional to 49,875.96, 74,749.28 and 20,259.40

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Solution

The fourth proportional to 49,875.96, 74,749.28 and 20,259.40 is: 30,362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,875.96 : 74,749.28 = 20,259.40 : x
  2. Step 2: Convert to fraction form
    49,875.96/74,749.28 = 20,259.40/x
  3. Step 3: Cross multiply
    49,875.96x = 74,749.28 × 20,259.40
  4. Step 4: Simplify right side
    49,875.96x = 1,514,375,563.23
  5. Step 5: Solve for x
    x = 1,514,375,563.23/49,875.96
  6. Step 6: Final answer
    x = 30,362.84

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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.