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Finding the Fourth Proportional to 75,301, 103,914.96 and 41,308.62

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Solution

The fourth proportional to 75,301, 103,914.96 and 41,308.62 is: 57,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,301 : 103,914.96 = 41,308.62 : x
  2. Step 2: Convert to fraction form
    75,301/103,914.96 = 41,308.62/x
  3. Step 3: Cross multiply
    75,301x = 103,914.96 × 41,308.62
  4. Step 4: Simplify right side
    75,301x = 4,292,583,594.96
  5. Step 5: Solve for x
    x = 4,292,583,594.96/75,301
  6. Step 6: Final answer
    x = 57,005.67

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1.5x scale

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.