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Finding the Fourth Proportional to 53,406.50, 80,039.64 and 39,300.48

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Solution

The fourth proportional to 53,406.50, 80,039.64 and 39,300.48 is: 58,899.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,406.50 : 80,039.64 = 39,300.48 : x
  2. Step 2: Convert to fraction form
    53,406.50/80,039.64 = 39,300.48/x
  3. Step 3: Cross multiply
    53,406.50x = 80,039.64 × 39,300.48
  4. Step 4: Simplify right side
    53,406.50x = 3,145,596,271.03
  5. Step 5: Solve for x
    x = 3,145,596,271.03/53,406.50
  6. Step 6: Final answer
    x = 58,899.13

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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.