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Finding the Fourth Proportional to 32,430.40, 48,645.46 and 7,806.40

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Solution

The fourth proportional to 32,430.40, 48,645.46 and 7,806.40 is: 11,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,430.40 : 48,645.46 = 7,806.40 : x
  2. Step 2: Convert to fraction form
    32,430.40/48,645.46 = 7,806.40/x
  3. Step 3: Cross multiply
    32,430.40x = 48,645.46 × 7,806.40
  4. Step 4: Simplify right side
    32,430.40x = 379,745,918.94
  5. Step 5: Solve for x
    x = 379,745,918.94/32,430.40
  6. Step 6: Final answer
    x = 11,709.57

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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.