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Finding the Fourth Proportional to 78,172.48, 107,885.32 and 44,632

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Solution

The fourth proportional to 78,172.48, 107,885.32 and 44,632 is: 61,596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,172.48 : 107,885.32 = 44,632 : x
  2. Step 2: Convert to fraction form
    78,172.48/107,885.32 = 44,632/x
  3. Step 3: Cross multiply
    78,172.48x = 107,885.32 × 44,632
  4. Step 4: Simplify right side
    78,172.48x = 4,815,137,602.24
  5. Step 5: Solve for x
    x = 4,815,137,602.24/78,172.48
  6. Step 6: Final answer
    x = 61,596.33

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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.