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Finding the Fourth Proportional to 53,047.32, 73,203.91 and 31,537.11

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Solution

The fourth proportional to 53,047.32, 73,203.91 and 31,537.11 is: 43,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,047.32 : 73,203.91 = 31,537.11 : x
  2. Step 2: Convert to fraction form
    53,047.32/73,203.91 = 31,537.11/x
  3. Step 3: Cross multiply
    53,047.32x = 73,203.91 × 31,537.11
  4. Step 4: Simplify right side
    53,047.32x = 2,308,639,762.10
  5. Step 5: Solve for x
    x = 2,308,639,762.10/53,047.32
  6. Step 6: Final answer
    x = 43,520.38

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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.