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Finding the Fourth Proportional to 84,641.76, 116,804.16 and 46,916.28

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Solution

The fourth proportional to 84,641.76, 116,804.16 and 46,916.28 is: 64,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,641.76 : 116,804.16 = 46,916.28 : x
  2. Step 2: Convert to fraction form
    84,641.76/116,804.16 = 46,916.28/x
  3. Step 3: Cross multiply
    84,641.76x = 116,804.16 × 46,916.28
  4. Step 4: Simplify right side
    84,641.76x = 5,480,016,675.72
  5. Step 5: Solve for x
    x = 5,480,016,675.72/84,641.76
  6. Step 6: Final answer
    x = 64,743.65

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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.