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Finding the Fourth Proportional to 75,833, 113,762.90 and 25,901.43

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Solution

The fourth proportional to 75,833, 113,762.90 and 25,901.43 is: 38,856.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,833 : 113,762.90 = 25,901.43 : x
  2. Step 2: Convert to fraction form
    75,833/113,762.90 = 25,901.43/x
  3. Step 3: Cross multiply
    75,833x = 113,762.90 × 25,901.43
  4. Step 4: Simplify right side
    75,833x = 2,946,621,790.95
  5. Step 5: Solve for x
    x = 2,946,621,790.95/75,833
  6. Step 6: Final answer
    x = 38,856.72

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1.5x scale

Why These Related Problems?

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