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Finding the Fourth Proportional to 69,821.94, 96,287.25 and 46,903.60

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Solution

The fourth proportional to 69,821.94, 96,287.25 and 46,903.60 is: 64,681.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,821.94 : 96,287.25 = 46,903.60 : x
  2. Step 2: Convert to fraction form
    69,821.94/96,287.25 = 46,903.60/x
  3. Step 3: Cross multiply
    69,821.94x = 96,287.25 × 46,903.60
  4. Step 4: Simplify right side
    69,821.94x = 4,516,218,418.38
  5. Step 5: Solve for x
    x = 4,516,218,418.38/69,821.94
  6. Step 6: Final answer
    x = 64,681.94

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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.