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Finding the Fourth Proportional to 45,416.48, 68,124.92 and 15,834.29

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Solution

The fourth proportional to 45,416.48, 68,124.92 and 15,834.29 is: 23,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,416.48 : 68,124.92 = 15,834.29 : x
  2. Step 2: Convert to fraction form
    45,416.48/68,124.92 = 15,834.29/x
  3. Step 3: Cross multiply
    45,416.48x = 68,124.92 × 15,834.29
  4. Step 4: Simplify right side
    45,416.48x = 1,078,709,319.71
  5. Step 5: Solve for x
    x = 1,078,709,319.71/45,416.48
  6. Step 6: Final answer
    x = 23,751.50

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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.