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Finding the Fourth Proportional to 109,970.60, 164,955.90 and 36,098.60

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Solution

The fourth proportional to 109,970.60, 164,955.90 and 36,098.60 is: 54,147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,970.60 : 164,955.90 = 36,098.60 : x
  2. Step 2: Convert to fraction form
    109,970.60/164,955.90 = 36,098.60/x
  3. Step 3: Cross multiply
    109,970.60x = 164,955.90 × 36,098.60
  4. Step 4: Simplify right side
    109,970.60x = 5,954,677,051.74
  5. Step 5: Solve for x
    x = 5,954,677,051.74/109,970.60
  6. Step 6: Final answer
    x = 54,147.90

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1.5x scale

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.