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Finding the Fourth Proportional to 47,509.37, 65,213.67 and 42,011.33

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Solution

The fourth proportional to 47,509.37, 65,213.67 and 42,011.33 is: 57,666.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,509.37 : 65,213.67 = 42,011.33 : x
  2. Step 2: Convert to fraction form
    47,509.37/65,213.67 = 42,011.33/x
  3. Step 3: Cross multiply
    47,509.37x = 65,213.67 × 42,011.33
  4. Step 4: Simplify right side
    47,509.37x = 2,739,712,842.36
  5. Step 5: Solve for x
    x = 2,739,712,842.36/47,509.37
  6. Step 6: Final answer
    x = 57,666.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.