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Finding the Fourth Proportional to 78,407.50, 108,197.29 and 44,423.14

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Solution

The fourth proportional to 78,407.50, 108,197.29 and 44,423.14 is: 61,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,407.50 : 108,197.29 = 44,423.14 : x
  2. Step 2: Convert to fraction form
    78,407.50/108,197.29 = 44,423.14/x
  3. Step 3: Cross multiply
    78,407.50x = 108,197.29 × 44,423.14
  4. Step 4: Simplify right side
    78,407.50x = 4,806,463,361.29
  5. Step 5: Solve for x
    x = 4,806,463,361.29/78,407.50
  6. Step 6: Final answer
    x = 61,301.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.