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Finding the Fourth Proportional to 78,646.48, 108,499.92 and 44,647.60

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Solution

The fourth proportional to 78,646.48, 108,499.92 and 44,647.60 is: 61,595.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,646.48 : 108,499.92 = 44,647.60 : x
  2. Step 2: Convert to fraction form
    78,646.48/108,499.92 = 44,647.60/x
  3. Step 3: Cross multiply
    78,646.48x = 108,499.92 × 44,647.60
  4. Step 4: Simplify right side
    78,646.48x = 4,844,261,028.19
  5. Step 5: Solve for x
    x = 4,844,261,028.19/78,646.48
  6. Step 6: Final answer
    x = 61,595.40

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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.