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Finding the Fourth Proportional to 109,496.58, 164,244.58 and 26,390.58

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Solution

The fourth proportional to 109,496.58, 164,244.58 and 26,390.58 is: 39,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,496.58 : 164,244.58 = 26,390.58 : x
  2. Step 2: Convert to fraction form
    109,496.58/164,244.58 = 26,390.58/x
  3. Step 3: Cross multiply
    109,496.58x = 164,244.58 × 26,390.58
  4. Step 4: Simplify right side
    109,496.58x = 4,334,509,728.06
  5. Step 5: Solve for x
    x = 4,334,509,728.06/109,496.58
  6. Step 6: Final answer
    x = 39,585.80

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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.