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Finding the Fourth Proportional to 61,874.51, 85,386.31 and 33,580.19

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Solution

The fourth proportional to 61,874.51, 85,386.31 and 33,580.19 is: 46,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,874.51 : 85,386.31 = 33,580.19 : x
  2. Step 2: Convert to fraction form
    61,874.51/85,386.31 = 33,580.19/x
  3. Step 3: Cross multiply
    61,874.51x = 85,386.31 × 33,580.19
  4. Step 4: Simplify right side
    61,874.51x = 2,867,288,642.71
  5. Step 5: Solve for x
    x = 2,867,288,642.71/61,874.51
  6. Step 6: Final answer
    x = 46,340.39

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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.