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Finding the Fourth Proportional to 35,463.72, 53,038.72 and 31,542.49

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Solution

The fourth proportional to 35,463.72, 53,038.72 and 31,542.49 is: 47,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,463.72 : 53,038.72 = 31,542.49 : x
  2. Step 2: Convert to fraction form
    35,463.72/53,038.72 = 31,542.49/x
  3. Step 3: Cross multiply
    35,463.72x = 53,038.72 × 31,542.49
  4. Step 4: Simplify right side
    35,463.72x = 1,672,973,295.21
  5. Step 5: Solve for x
    x = 1,672,973,295.21/35,463.72
  6. Step 6: Final answer
    x = 47,174.22

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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.