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Finding the Fourth Proportional to 63,981.90, 95,834.34 and 46,413

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Solution

The fourth proportional to 63,981.90, 95,834.34 and 46,413 is: 69,519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,981.90 : 95,834.34 = 46,413 : x
  2. Step 2: Convert to fraction form
    63,981.90/95,834.34 = 46,413/x
  3. Step 3: Cross multiply
    63,981.90x = 95,834.34 × 46,413
  4. Step 4: Simplify right side
    63,981.90x = 4,447,959,222.42
  5. Step 5: Solve for x
    x = 4,447,959,222.42/63,981.90
  6. Step 6: Final answer
    x = 69,519.02

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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.