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Finding the Fourth Proportional to 73,762.54, 110,643.64 and 31,615.29

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Solution

The fourth proportional to 73,762.54, 110,643.64 and 31,615.29 is: 47,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,762.54 : 110,643.64 = 31,615.29 : x
  2. Step 2: Convert to fraction form
    73,762.54/110,643.64 = 31,615.29/x
  3. Step 3: Cross multiply
    73,762.54x = 110,643.64 × 31,615.29
  4. Step 4: Simplify right side
    73,762.54x = 3,498,030,686.22
  5. Step 5: Solve for x
    x = 3,498,030,686.22/73,762.54
  6. Step 6: Final answer
    x = 47,422.86

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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.