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Finding the Fourth Proportional to 56,509.38, 77,986.59 and 31,358.88

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Solution

The fourth proportional to 56,509.38, 77,986.59 and 31,358.88 is: 43,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,509.38 : 77,986.59 = 31,358.88 : x
  2. Step 2: Convert to fraction form
    56,509.38/77,986.59 = 31,358.88/x
  3. Step 3: Cross multiply
    56,509.38x = 77,986.59 × 31,358.88
  4. Step 4: Simplify right side
    56,509.38x = 2,445,571,570.69
  5. Step 5: Solve for x
    x = 2,445,571,570.69/56,509.38
  6. Step 6: Final answer
    x = 43,277.27

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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.