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Finding the Fourth Proportional to 45,307.30, 62,502.38 and 31,886

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Solution

The fourth proportional to 45,307.30, 62,502.38 and 31,886 is: 43,987.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,307.30 : 62,502.38 = 31,886 : x
  2. Step 2: Convert to fraction form
    45,307.30/62,502.38 = 31,886/x
  3. Step 3: Cross multiply
    45,307.30x = 62,502.38 × 31,886
  4. Step 4: Simplify right side
    45,307.30x = 1,992,950,888.68
  5. Step 5: Solve for x
    x = 1,992,950,888.68/45,307.30
  6. Step 6: Final answer
    x = 43,987.41

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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.