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Finding the Fourth Proportional to 96,758.86, 145,194.33 and 40,594

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Solution

The fourth proportional to 96,758.86, 145,194.33 and 40,594 is: 60,914.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,758.86 : 145,194.33 = 40,594 : x
  2. Step 2: Convert to fraction form
    96,758.86/145,194.33 = 40,594/x
  3. Step 3: Cross multiply
    96,758.86x = 145,194.33 × 40,594
  4. Step 4: Simplify right side
    96,758.86x = 5,894,018,632.02
  5. Step 5: Solve for x
    x = 5,894,018,632.02/96,758.86
  6. Step 6: Final answer
    x = 60,914.51

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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.