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Finding the Fourth Proportional to 78,317.73, 108,078.63 and 46,493.01

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Solution

The fourth proportional to 78,317.73, 108,078.63 and 46,493.01 is: 64,160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,317.73 : 108,078.63 = 46,493.01 : x
  2. Step 2: Convert to fraction form
    78,317.73/108,078.63 = 46,493.01/x
  3. Step 3: Cross multiply
    78,317.73x = 108,078.63 × 46,493.01
  4. Step 4: Simplify right side
    78,317.73x = 5,024,900,825.38
  5. Step 5: Solve for x
    x = 5,024,900,825.38/78,317.73
  6. Step 6: Final answer
    x = 64,160.45

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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.