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Finding the Fourth Proportional to 36,596.50, 50,503.18 and 19,829.50

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Solution

The fourth proportional to 36,596.50, 50,503.18 and 19,829.50 is: 27,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,596.50 : 50,503.18 = 19,829.50 : x
  2. Step 2: Convert to fraction form
    36,596.50/50,503.18 = 19,829.50/x
  3. Step 3: Cross multiply
    36,596.50x = 50,503.18 × 19,829.50
  4. Step 4: Simplify right side
    36,596.50x = 1,001,452,807.81
  5. Step 5: Solve for x
    x = 1,001,452,807.81/36,596.50
  6. Step 6: Final answer
    x = 27,364.72

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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.