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Finding the Fourth Proportional to 53,011.50, 73,166.50 and 31,497.10

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Solution

The fourth proportional to 53,011.50, 73,166.50 and 31,497.10 is: 43,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,011.50 : 73,166.50 = 31,497.10 : x
  2. Step 2: Convert to fraction form
    53,011.50/73,166.50 = 31,497.10/x
  3. Step 3: Cross multiply
    53,011.50x = 73,166.50 × 31,497.10
  4. Step 4: Simplify right side
    53,011.50x = 2,304,532,567.15
  5. Step 5: Solve for x
    x = 2,304,532,567.15/53,011.50
  6. Step 6: Final answer
    x = 43,472.31

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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.