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Finding the Fourth Proportional to 84,685.62, 116,866.16 and 46,959.87

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Solution

The fourth proportional to 84,685.62, 116,866.16 and 46,959.87 is: 64,804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,685.62 : 116,866.16 = 46,959.87 : x
  2. Step 2: Convert to fraction form
    84,685.62/116,866.16 = 46,959.87/x
  3. Step 3: Cross multiply
    84,685.62x = 116,866.16 × 46,959.87
  4. Step 4: Simplify right side
    84,685.62x = 5,488,019,681.00
  5. Step 5: Solve for x
    x = 5,488,019,681.00/84,685.62
  6. Step 6: Final answer
    x = 64,804.62

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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.