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Finding the Fourth Proportional to 78,588, 108,462.42 and 50,353.83

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Solution

The fourth proportional to 78,588, 108,462.42 and 50,353.83 is: 69,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,588 : 108,462.42 = 50,353.83 : x
  2. Step 2: Convert to fraction form
    78,588/108,462.42 = 50,353.83/x
  3. Step 3: Cross multiply
    78,588x = 108,462.42 × 50,353.83
  4. Step 4: Simplify right side
    78,588x = 5,461,498,258.07
  5. Step 5: Solve for x
    x = 5,461,498,258.07/78,588
  6. Step 6: Final answer
    x = 69,495.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.