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Finding the Fourth Proportional to 68,790.23, 103,153.14 and 24,416

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Solution

The fourth proportional to 68,790.23, 103,153.14 and 24,416 is: 36,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,790.23 : 103,153.14 = 24,416 : x
  2. Step 2: Convert to fraction form
    68,790.23/103,153.14 = 24,416/x
  3. Step 3: Cross multiply
    68,790.23x = 103,153.14 × 24,416
  4. Step 4: Simplify right side
    68,790.23x = 2,518,587,066.24
  5. Step 5: Solve for x
    x = 2,518,587,066.24/68,790.23
  6. Step 6: Final answer
    x = 36,612.57

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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.