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Finding the Fourth Proportional to 53,393.50, 73,688.46 and 30,733.44

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Solution

The fourth proportional to 53,393.50, 73,688.46 and 30,733.44 is: 42,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,393.50 : 73,688.46 = 30,733.44 : x
  2. Step 2: Convert to fraction form
    53,393.50/73,688.46 = 30,733.44/x
  3. Step 3: Cross multiply
    53,393.50x = 73,688.46 × 30,733.44
  4. Step 4: Simplify right side
    53,393.50x = 2,264,699,864.10
  5. Step 5: Solve for x
    x = 2,264,699,864.10/53,393.50
  6. Step 6: Final answer
    x = 42,415.27

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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.