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Finding the Fourth Proportional to 47,663.68, 65,703.12 and 37,574.08

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Solution

The fourth proportional to 47,663.68, 65,703.12 and 37,574.08 is: 51,794.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,663.68 : 65,703.12 = 37,574.08 : x
  2. Step 2: Convert to fraction form
    47,663.68/65,703.12 = 37,574.08/x
  3. Step 3: Cross multiply
    47,663.68x = 65,703.12 × 37,574.08
  4. Step 4: Simplify right side
    47,663.68x = 2,468,734,287.13
  5. Step 5: Solve for x
    x = 2,468,734,287.13/47,663.68
  6. Step 6: Final answer
    x = 51,794.87

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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.