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Finding the Fourth Proportional to 107,106.64, 160,627.57 and 32,206.90

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Solution

The fourth proportional to 107,106.64, 160,627.57 and 32,206.90 is: 48,300.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,106.64 : 160,627.57 = 32,206.90 : x
  2. Step 2: Convert to fraction form
    107,106.64/160,627.57 = 32,206.90/x
  3. Step 3: Cross multiply
    107,106.64x = 160,627.57 × 32,206.90
  4. Step 4: Simplify right side
    107,106.64x = 5,173,316,084.49
  5. Step 5: Solve for x
    x = 5,173,316,084.49/107,106.64
  6. Step 6: Final answer
    x = 48,300.61

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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.