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Finding the Fourth Proportional to 54,307.65, 74,941.47 and 31,650.33

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Solution

The fourth proportional to 54,307.65, 74,941.47 and 31,650.33 is: 43,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,307.65 : 74,941.47 = 31,650.33 : x
  2. Step 2: Convert to fraction form
    54,307.65/74,941.47 = 31,650.33/x
  3. Step 3: Cross multiply
    54,307.65x = 74,941.47 × 31,650.33
  4. Step 4: Simplify right side
    54,307.65x = 2,371,922,256.19
  5. Step 5: Solve for x
    x = 2,371,922,256.19/54,307.65
  6. Step 6: Final answer
    x = 43,675.66

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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.