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Finding the Fourth Proportional to 35,402.50, 53,103.75 and 10,778.50

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Solution

The fourth proportional to 35,402.50, 53,103.75 and 10,778.50 is: 16,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,402.50 : 53,103.75 = 10,778.50 : x
  2. Step 2: Convert to fraction form
    35,402.50/53,103.75 = 10,778.50/x
  3. Step 3: Cross multiply
    35,402.50x = 53,103.75 × 10,778.50
  4. Step 4: Simplify right side
    35,402.50x = 572,378,769.38
  5. Step 5: Solve for x
    x = 572,378,769.38/35,402.50
  6. Step 6: Final answer
    x = 16,167.75

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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.