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Finding the Fourth Proportional to 78,496.09, 108,321.30 and 44,506.87

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Solution

The fourth proportional to 78,496.09, 108,321.30 and 44,506.87 is: 61,417.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,496.09 : 108,321.30 = 44,506.87 : x
  2. Step 2: Convert to fraction form
    78,496.09/108,321.30 = 44,506.87/x
  3. Step 3: Cross multiply
    78,496.09x = 108,321.30 × 44,506.87
  4. Step 4: Simplify right side
    78,496.09x = 4,821,041,746.53
  5. Step 5: Solve for x
    x = 4,821,041,746.53/78,496.09
  6. Step 6: Final answer
    x = 61,417.61

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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.